If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (3x + 8)(3x + -6) = 52 Reorder the terms: (8 + 3x)(3x + -6) = 52 Reorder the terms: (8 + 3x)(-6 + 3x) = 52 Multiply (8 + 3x) * (-6 + 3x) (8(-6 + 3x) + 3x * (-6 + 3x)) = 52 ((-6 * 8 + 3x * 8) + 3x * (-6 + 3x)) = 52 ((-48 + 24x) + 3x * (-6 + 3x)) = 52 (-48 + 24x + (-6 * 3x + 3x * 3x)) = 52 (-48 + 24x + (-18x + 9x2)) = 52 Combine like terms: 24x + -18x = 6x (-48 + 6x + 9x2) = 52 Solving -48 + 6x + 9x2 = 52 Solving for variable 'x'. Reorder the terms: -48 + -52 + 6x + 9x2 = 52 + -52 Combine like terms: -48 + -52 = -100 -100 + 6x + 9x2 = 52 + -52 Combine like terms: 52 + -52 = 0 -100 + 6x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. -11.11111111 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '11.11111111' to each side of the equation. -11.11111111 + 0.6666666667x + 11.11111111 + x2 = 0 + 11.11111111 Reorder the terms: -11.11111111 + 11.11111111 + 0.6666666667x + x2 = 0 + 11.11111111 Combine like terms: -11.11111111 + 11.11111111 = 0.00000000 0.00000000 + 0.6666666667x + x2 = 0 + 11.11111111 0.6666666667x + x2 = 0 + 11.11111111 Combine like terms: 0 + 11.11111111 = 11.11111111 0.6666666667x + x2 = 11.11111111 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = 11.11111111 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 11.11111111 + 0.1111111112 Combine like terms: 11.11111111 + 0.1111111112 = 11.2222222212 0.1111111112 + 0.6666666667x + x2 = 11.2222222212 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 11.2222222212 Calculate the square root of the right side: 3.34995854 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 3.34995854 and -3.34995854.Subproblem 1
x + 0.3333333334 = 3.34995854 Simplifying x + 0.3333333334 = 3.34995854 Reorder the terms: 0.3333333334 + x = 3.34995854 Solving 0.3333333334 + x = 3.34995854 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = 3.34995854 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 3.34995854 + -0.3333333334 x = 3.34995854 + -0.3333333334 Combine like terms: 3.34995854 + -0.3333333334 = 3.0166252066 x = 3.0166252066 Simplifying x = 3.0166252066Subproblem 2
x + 0.3333333334 = -3.34995854 Simplifying x + 0.3333333334 = -3.34995854 Reorder the terms: 0.3333333334 + x = -3.34995854 Solving 0.3333333334 + x = -3.34995854 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = -3.34995854 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -3.34995854 + -0.3333333334 x = -3.34995854 + -0.3333333334 Combine like terms: -3.34995854 + -0.3333333334 = -3.6832918734 x = -3.6832918734 Simplifying x = -3.6832918734Solution
The solution to the problem is based on the solutions from the subproblems. x = {3.0166252066, -3.6832918734}
| 10x-2x=2*4x | | 4(n-2)=3(n+2) | | 4(n-2)=3n+6 | | -2+18-4d=60 | | 5n-4=3n+6 | | 2+6m-3m+7= | | -55+5y+4=2(5y-2)-2 | | 5(n+1)=25 | | 6T-16T=20 | | 7(x+9)=7x+7*9 | | 4(n+2)=8(n-3) | | 6x+101=13x-11 | | 99-2x=16x+19 | | 12-8x=64-36x | | -49-7x=7x+21 | | 4x+1=23 | | 93-3x=4x+16 | | -46-3x=10-10x | | 7+2(4n+3)-n= | | 104-5x=9x+20 | | 4x+8=72-4x | | 9x-3=7x | | 3x-7=23 | | 5+8x=47+x | | 7-7=19p-2p | | 4x-1=14x-31 | | -(x*x)+20x-660=0 | | 6x+34=16x-86 | | 10x-18=5x+2 | | 6(x-3)=3x+4 | | 10n-28=42 | | 5+6k=10k+1 |