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Simplifying 4 * 4 * 4 * 4(1 + a)(1 + b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 Multiply 4 * 4 16 * 4 * 4(1 + a)(1 + b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 Multiply 16 * 4 64 * 4(1 + a)(1 + b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 Multiply 64 * 4 256(1 + a)(1 + b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 Multiply (1 + a) * (1 + b) 256(1(1 + b) + a(1 + b))(1 + c)(1 + d) = 5 * 5 * 5 * 5 256((1 * 1 + b * 1) + a(1 + b))(1 + c)(1 + d) = 5 * 5 * 5 * 5 256((1 + 1b) + a(1 + b))(1 + c)(1 + d) = 5 * 5 * 5 * 5 256(1 + 1b + (1 * a + b * a))(1 + c)(1 + d) = 5 * 5 * 5 * 5 256(1 + 1b + (1a + ab))(1 + c)(1 + d) = 5 * 5 * 5 * 5 Reorder the terms: 256(1 + 1a + ab + 1b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 256(1 + 1a + ab + 1b)(1 + c)(1 + d) = 5 * 5 * 5 * 5 Multiply (1 + 1a + ab + 1b) * (1 + c) 256(1(1 + c) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256((1 * 1 + c * 1) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256((1 + 1c) + 1a * (1 + c) + ab(1 + c) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + (1 * 1a + c * 1a) + ab(1 + c) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + (1a + 1ac) + ab(1 + c) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + 1a + 1ac + (1 * ab + c * ab) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + 1a + 1ac + (1ab + abc) + 1b * (1 + c))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + 1a + 1ac + 1ab + abc + (1 * 1b + c * 1b))(1 + d) = 5 * 5 * 5 * 5 256(1 + 1c + 1a + 1ac + 1ab + abc + (1b + 1bc))(1 + d) = 5 * 5 * 5 * 5 Reorder the terms: 256(1 + 1a + 1ab + abc + 1ac + 1b + 1bc + 1c)(1 + d) = 5 * 5 * 5 * 5 256(1 + 1a + 1ab + abc + 1ac + 1b + 1bc + 1c)(1 + d) = 5 * 5 * 5 * 5 Multiply (1 + 1a + 1ab + abc + 1ac + 1b + 1bc + 1c) * (1 + d) 256(1(1 + d) + 1a * (1 + d) + 1ab * (1 + d) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256((1 * 1 + d * 1) + 1a * (1 + d) + 1ab * (1 + d) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256((1 + 1d) + 1a * (1 + d) + 1ab * (1 + d) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + (1 * 1a + d * 1a) + 1ab * (1 + d) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + (1a + 1ad) + 1ab * (1 + d) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + (1 * 1ab + d * 1ab) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + (1ab + 1abd) + abc(1 + d) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + (1 * abc + d * abc) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + (1abc + abcd) + 1ac * (1 + d) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + (1 * 1ac + d * 1ac) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + (1ac + 1acd) + 1b * (1 + d) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + (1 * 1b + d * 1b) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + (1b + 1bd) + 1bc * (1 + d) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + 1b + 1bd + (1 * 1bc + d * 1bc) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + 1b + 1bd + (1bc + 1bcd) + 1c * (1 + d)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + 1b + 1bd + 1bc + 1bcd + (1 * 1c + d * 1c)) = 5 * 5 * 5 * 5 256(1 + 1d + 1a + 1ad + 1ab + 1abd + 1abc + abcd + 1ac + 1acd + 1b + 1bd + 1bc + 1bcd + (1c + 1cd)) = 5 * 5 * 5 * 5 Reorder the terms: 256(1 + 1a + 1ab + 1abc + abcd + 1abd + 1ac + 1acd + 1ad + 1b + 1bc + 1bcd + 1bd + 1c + 1cd + 1d) = 5 * 5 * 5 * 5 256(1 + 1a + 1ab + 1abc + abcd + 1abd + 1ac + 1acd + 1ad + 1b + 1bc + 1bcd + 1bd + 1c + 1cd + 1d) = 5 * 5 * 5 * 5 (1 * 256 + 1a * 256 + 1ab * 256 + 1abc * 256 + abcd * 256 + 1abd * 256 + 1ac * 256 + 1acd * 256 + 1ad * 256 + 1b * 256 + 1bc * 256 + 1bcd * 256 + 1bd * 256 + 1c * 256 + 1cd * 256 + 1d * 256) = 5 * 5 * 5 * 5 (256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d) = 5 * 5 * 5 * 5 Multiply 5 * 5 256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 25 * 5 * 5 Multiply 25 * 5 256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 125 * 5 Multiply 125 * 5 256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 625 Solving 256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 625 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-256' to each side of the equation. 256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + -256 + 256d = 625 + -256 Reorder the terms: 256 + -256 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 625 + -256 Combine like terms: 256 + -256 = 0 0 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 625 + -256 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 625 + -256 Combine like terms: 625 + -256 = 369 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 Add '-256b' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + -256b + 256d = 369 + -256b Reorder the terms: 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + -256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b Combine like terms: 256b + -256b = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b Add '-256bc' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bc + 256bcd + 256bd + 256c + 256cd + -256bc + 256d = 369 + -256b + -256bc Reorder the terms: 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bc + -256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc Combine like terms: 256bc + -256bc = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc Add '-256bcd' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bcd + 256bd + 256c + 256cd + -256bcd + 256d = 369 + -256b + -256bc + -256bcd Reorder the terms: 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bcd + -256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd Combine like terms: 256bcd + -256bcd = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd Add '-256bd' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bd + 256c + 256cd + -256bd + 256d = 369 + -256b + -256bc + -256bcd + -256bd Reorder the terms: 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256bd + -256bd + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd Combine like terms: 256bd + -256bd = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd Add '-256c' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256c + 256cd + -256c + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c Reorder the terms: 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256c + -256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c Combine like terms: 256c + -256c = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c Add '-256cd' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256cd + -256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd Combine like terms: 256cd + -256cd = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd Add '-256d' to each side of the equation. 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256d + -256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd + -256d Combine like terms: 256d + -256d = 0 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 0 = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd + -256d 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd + -256d Reorder the terms: -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -256b + -256bc + -256bcd + -256bd + -256c + -256cd + -256d + -369 + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d Reorder the terms: -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 369 + -369 + -256b + 256b + -256bc + 256bc + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: 369 + -369 = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256b + 256b + -256bc + 256bc + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256b + 256b + -256bc + 256bc + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: -256b + 256b = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256bc + 256bc + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256bc + 256bc + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: -256bc + 256bc = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256bcd + 256bcd + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: -256bcd + 256bcd = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256bd + 256bd + -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: -256bd + 256bd = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256c + 256c + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256c + 256c + -256cd + 256cd + -256d + 256d Combine like terms: -256c + 256c = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256cd + 256cd + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256cd + 256cd + -256d + 256d Combine like terms: -256cd + 256cd = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 + -256d + 256d -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = -256d + 256d Combine like terms: -256d + 256d = 0 -369 + 256a + 256ab + 256abc + 256abcd + 256abd + 256ac + 256acd + 256ad + 256b + 256bc + 256bcd + 256bd + 256c + 256cd + 256d = 0 The solution to this equation could not be determined.
| a+b=ab | | 5-8x=105-43x | | y^2-15y+54=0 | | y^2-15+54=0 | | -92-7x=9x+20 | | x^2-rad(3x)-4=0 | | 143-5x=6x+11 | | 10x+9=7x+14 | | 4x+4y=20 | | 16+3x=3x | | 18-4x=12-7x | | 180-6x=39x+15 | | 10-8x=75-43x | | -124-9x=9x+20 | | 181-6x=6x+13 | | 5-6x=11-8x | | 5x-1=15x-111 | | 6x+47=9x+11 | | 3f^2+7=-20 | | n^2+4=40 | | x^2+5=3 | | -5-4x^2=59 | | -10-5n^2=-330 | | 7x^2=-63 | | x^2-4=76 | | 3a^2+7=-20 | | 5x^2+9=14 | | 2x^2-2=6 | | -9y=25 | | 26=-7x | | X+4y=5 | | (a-5)(a-2)=28 |