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Simplifying (3x + 2)(3x + 2) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) Reorder the terms: (2 + 3x)(3x + 2) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) Reorder the terms: (2 + 3x)(2 + 3x) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) Multiply (2 + 3x) * (2 + 3x) (2(2 + 3x) + 3x * (2 + 3x)) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) ((2 * 2 + 3x * 2) + 3x * (2 + 3x)) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) ((4 + 6x) + 3x * (2 + 3x)) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) (4 + 6x + (2 * 3x + 3x * 3x)) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) (4 + 6x + (6x + 9x2)) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) Combine like terms: 6x + 6x = 12x (4 + 12x + 9x2) + (4x + -3)(4x + -3) = (5x + -1)(5x + -1) Reorder the terms: 4 + 12x + 9x2 + (-3 + 4x)(4x + -3) = (5x + -1)(5x + -1) Reorder the terms: 4 + 12x + 9x2 + (-3 + 4x)(-3 + 4x) = (5x + -1)(5x + -1) Multiply (-3 + 4x) * (-3 + 4x) 4 + 12x + 9x2 + (-3(-3 + 4x) + 4x * (-3 + 4x)) = (5x + -1)(5x + -1) 4 + 12x + 9x2 + ((-3 * -3 + 4x * -3) + 4x * (-3 + 4x)) = (5x + -1)(5x + -1) 4 + 12x + 9x2 + ((9 + -12x) + 4x * (-3 + 4x)) = (5x + -1)(5x + -1) 4 + 12x + 9x2 + (9 + -12x + (-3 * 4x + 4x * 4x)) = (5x + -1)(5x + -1) 4 + 12x + 9x2 + (9 + -12x + (-12x + 16x2)) = (5x + -1)(5x + -1) Combine like terms: -12x + -12x = -24x 4 + 12x + 9x2 + (9 + -24x + 16x2) = (5x + -1)(5x + -1) Reorder the terms: 4 + 9 + 12x + -24x + 9x2 + 16x2 = (5x + -1)(5x + -1) Combine like terms: 4 + 9 = 13 13 + 12x + -24x + 9x2 + 16x2 = (5x + -1)(5x + -1) Combine like terms: 12x + -24x = -12x 13 + -12x + 9x2 + 16x2 = (5x + -1)(5x + -1) Combine like terms: 9x2 + 16x2 = 25x2 13 + -12x + 25x2 = (5x + -1)(5x + -1) Reorder the terms: 13 + -12x + 25x2 = (-1 + 5x)(5x + -1) Reorder the terms: 13 + -12x + 25x2 = (-1 + 5x)(-1 + 5x) Multiply (-1 + 5x) * (-1 + 5x) 13 + -12x + 25x2 = (-1(-1 + 5x) + 5x * (-1 + 5x)) 13 + -12x + 25x2 = ((-1 * -1 + 5x * -1) + 5x * (-1 + 5x)) 13 + -12x + 25x2 = ((1 + -5x) + 5x * (-1 + 5x)) 13 + -12x + 25x2 = (1 + -5x + (-1 * 5x + 5x * 5x)) 13 + -12x + 25x2 = (1 + -5x + (-5x + 25x2)) Combine like terms: -5x + -5x = -10x 13 + -12x + 25x2 = (1 + -10x + 25x2) Add '-25x2' to each side of the equation. 13 + -12x + 25x2 + -25x2 = 1 + -10x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 13 + -12x + 0 = 1 + -10x + 25x2 + -25x2 13 + -12x = 1 + -10x + 25x2 + -25x2 Combine like terms: 25x2 + -25x2 = 0 13 + -12x = 1 + -10x + 0 13 + -12x = 1 + -10x Solving 13 + -12x = 1 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 13 + -12x + 10x = 1 + -10x + 10x Combine like terms: -12x + 10x = -2x 13 + -2x = 1 + -10x + 10x Combine like terms: -10x + 10x = 0 13 + -2x = 1 + 0 13 + -2x = 1 Add '-13' to each side of the equation. 13 + -13 + -2x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -2x = 1 + -13 -2x = 1 + -13 Combine like terms: 1 + -13 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
| 2w-4w=-4/5 | | 6x(2x+8)=8x-36 | | U+81=9u-7 | | 65-x=10+5 | | 3(2x-1)+2(3x-1)=51-5(x+1) | | 294=139-y | | (2t^2-3)(2t^2+3)= | | 4v+20-6=24 | | 75.00(x+9.00)=112500 | | D/c=3 | | 5xy=80 | | 10+x=65 | | (2b-4)/2=(b-1)/4 | | 3k-18+2k=6+9k+6 | | -7(8n+1)=-7-4n | | -w=5 | | X^5-9x^4=0 | | -4/9/2/3 | | (2x+5)(2)+(5x-3)=180 | | x/80=30/100 | | -3=2w+7 | | x+2x-6=-12+2m | | (4x+10)+(5x-3)=180 | | -4y^2+28y+72=0 | | (1/2)^6*5^6 | | 12000(x+7.00)=408000 | | 18-x=158 | | w(23)=0.112(23) | | 3x^2-11x-4=0byfactoring | | 12000(x+7.00)=144000 | | n*n=100 | | 2v+14=52 |