If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying (4x + -3)(8x + -3) = x Reorder the terms: (-3 + 4x)(8x + -3) = x Reorder the terms: (-3 + 4x)(-3 + 8x) = x Multiply (-3 + 4x) * (-3 + 8x) (-3(-3 + 8x) + 4x * (-3 + 8x)) = x ((-3 * -3 + 8x * -3) + 4x * (-3 + 8x)) = x ((9 + -24x) + 4x * (-3 + 8x)) = x (9 + -24x + (-3 * 4x + 8x * 4x)) = x (9 + -24x + (-12x + 32x2)) = x Combine like terms: -24x + -12x = -36x (9 + -36x + 32x2) = x Solving 9 + -36x + 32x2 = x Solving for variable 'x'. Reorder the terms: 9 + -36x + -1x + 32x2 = x + -1x Combine like terms: -36x + -1x = -37x 9 + -37x + 32x2 = x + -1x Combine like terms: x + -1x = 0 9 + -37x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. 0.28125 + -1.15625x + x2 = 0 Move the constant term to the right: Add '-0.28125' to each side of the equation. 0.28125 + -1.15625x + -0.28125 + x2 = 0 + -0.28125 Reorder the terms: 0.28125 + -0.28125 + -1.15625x + x2 = 0 + -0.28125 Combine like terms: 0.28125 + -0.28125 = 0.00000 0.00000 + -1.15625x + x2 = 0 + -0.28125 -1.15625x + x2 = 0 + -0.28125 Combine like terms: 0 + -0.28125 = -0.28125 -1.15625x + x2 = -0.28125 The x term is -1.15625x. Take half its coefficient (-0.578125). Square it (0.3342285156) and add it to both sides. Add '0.3342285156' to each side of the equation. -1.15625x + 0.3342285156 + x2 = -0.28125 + 0.3342285156 Reorder the terms: 0.3342285156 + -1.15625x + x2 = -0.28125 + 0.3342285156 Combine like terms: -0.28125 + 0.3342285156 = 0.0529785156 0.3342285156 + -1.15625x + x2 = 0.0529785156 Factor a perfect square on the left side: (x + -0.578125)(x + -0.578125) = 0.0529785156 Calculate the square root of the right side: 0.230170623 Break this problem into two subproblems by setting (x + -0.578125) equal to 0.230170623 and -0.230170623.Subproblem 1
x + -0.578125 = 0.230170623 Simplifying x + -0.578125 = 0.230170623 Reorder the terms: -0.578125 + x = 0.230170623 Solving -0.578125 + x = 0.230170623 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.578125' to each side of the equation. -0.578125 + 0.578125 + x = 0.230170623 + 0.578125 Combine like terms: -0.578125 + 0.578125 = 0.000000 0.000000 + x = 0.230170623 + 0.578125 x = 0.230170623 + 0.578125 Combine like terms: 0.230170623 + 0.578125 = 0.808295623 x = 0.808295623 Simplifying x = 0.808295623Subproblem 2
x + -0.578125 = -0.230170623 Simplifying x + -0.578125 = -0.230170623 Reorder the terms: -0.578125 + x = -0.230170623 Solving -0.578125 + x = -0.230170623 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.578125' to each side of the equation. -0.578125 + 0.578125 + x = -0.230170623 + 0.578125 Combine like terms: -0.578125 + 0.578125 = 0.000000 0.000000 + x = -0.230170623 + 0.578125 x = -0.230170623 + 0.578125 Combine like terms: -0.230170623 + 0.578125 = 0.347954377 x = 0.347954377 Simplifying x = 0.347954377Solution
The solution to the problem is based on the solutions from the subproblems. x = {0.808295623, 0.347954377}
| -10+10d=10-10d | | (4x-3)(8x-3)= | | 5t+4whent=-3 | | c-14=12 | | 7-n=2 | | 5*(x-10)=130 | | 9(c-3)whenc=7 | | (-7w^2+2w-5)+(4w^2+3w+6)= | | 4x^2-15x=5x+8 | | 3+(2+3)=x+13 | | -3x+y-2z=-7 | | 4x^2-15x+1=5x+8 | | 2xy/4yx^2 | | 2+2p=16 | | 10(x+10)=130 | | 4x^2-15x+17=5x-8 | | 10(x+10)=-130 | | 5(x+2)=2(x-10) | | 2m=68 | | 4z=9+5z | | 2(5x+8)=31+7x | | x(2+1.414)=20-2x | | 11h-14h+14h+6h-19h=20 | | x-1x-3=3x+6-5 | | 8=15x+5 | | 4x^2+3x-100=0 | | -11r-18=-14r | | 20m+4m-23m-m+m=17 | | -10+q=10-3q | | s^3-3s-40=0 | | 8(x+1)-3=6x+1 | | 6x^2-12x+6y^2-36=0 |