If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying 4[-10 + 3(-7x + 2)] + -5x(2x + -9) = 0 Reorder the terms: 4[-10 + 3(2 + -7x)] + -5x(2x + -9) = 0 4[-10 + (2 * 3 + -7x * 3)] + -5x(2x + -9) = 0 4[-10 + (6 + -21x)] + -5x(2x + -9) = 0 Combine like terms: -10 + 6 = -4 4[-4 + -21x] + -5x(2x + -9) = 0 [-4 * 4 + -21x * 4] + -5x(2x + -9) = 0 [-16 + -84x] + -5x(2x + -9) = 0 Reorder the terms: -16 + -84x + -5x(-9 + 2x) = 0 -16 + -84x + (-9 * -5x + 2x * -5x) = 0 -16 + -84x + (45x + -10x2) = 0 Combine like terms: -84x + 45x = -39x -16 + -39x + -10x2 = 0 Solving -16 + -39x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(16 + 39x + 10x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(16 + 39x + 10x2)' equal to zero and attempt to solve: Simplifying 16 + 39x + 10x2 = 0 Solving 16 + 39x + 10x2 = 0 Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 1.6 + 3.9x + x2 = 0.0 Move the constant term to the right: Add '-1.6' to each side of the equation. 1.6 + 3.9x + -1.6 + x2 = 0.0 + -1.6 Reorder the terms: 1.6 + -1.6 + 3.9x + x2 = 0.0 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 3.9x + x2 = 0.0 + -1.6 3.9x + x2 = 0.0 + -1.6 Combine like terms: 0.0 + -1.6 = -1.6 3.9x + x2 = -1.6 The x term is 3.9x. Take half its coefficient (1.95). Square it (3.8025) and add it to both sides. Add '3.8025' to each side of the equation. 3.9x + 3.8025 + x2 = -1.6 + 3.8025 Reorder the terms: 3.8025 + 3.9x + x2 = -1.6 + 3.8025 Combine like terms: -1.6 + 3.8025 = 2.2025 3.8025 + 3.9x + x2 = 2.2025 Factor a perfect square on the left side: (x + 1.95)(x + 1.95) = 2.2025 Calculate the square root of the right side: 1.484082208 Break this problem into two subproblems by setting (x + 1.95) equal to 1.484082208 and -1.484082208.Subproblem 1
x + 1.95 = 1.484082208 Simplifying x + 1.95 = 1.484082208 Reorder the terms: 1.95 + x = 1.484082208 Solving 1.95 + x = 1.484082208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + x = 1.484082208 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + x = 1.484082208 + -1.95 x = 1.484082208 + -1.95 Combine like terms: 1.484082208 + -1.95 = -0.465917792 x = -0.465917792 Simplifying x = -0.465917792Subproblem 2
x + 1.95 = -1.484082208 Simplifying x + 1.95 = -1.484082208 Reorder the terms: 1.95 + x = -1.484082208 Solving 1.95 + x = -1.484082208 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.95' to each side of the equation. 1.95 + -1.95 + x = -1.484082208 + -1.95 Combine like terms: 1.95 + -1.95 = 0.00 0.00 + x = -1.484082208 + -1.95 x = -1.484082208 + -1.95 Combine like terms: -1.484082208 + -1.95 = -3.434082208 x = -3.434082208 Simplifying x = -3.434082208Solution
The solution to the problem is based on the solutions from the subproblems. x = {-0.465917792, -3.434082208}Solution
x = {-0.465917792, -3.434082208}
| 9x+218=4x+144 | | 4(-14)+4(-14-l)=72 | | -4m+8-7(m-6)=5m-(2m-8)-9m+7 | | 6x-1=-73 | | 7x+4x-38=95-8x | | 6/5-2=10 | | -2x+2=11 | | 9-4=36 | | 3(2-8)=11d-18(d-3) | | -3x=2x+18 | | 3p^2+24p=0 | | -6(w+1)-w-9=-7(w+5)+20 | | -8b+6=5(1+3b)+1 | | [5b+9]+16=2 | | 61-7x=5 | | 3a-4=5a+22 | | 3x-1=-6x+98 | | 7(v+2)-3v=2(2v+1)-3 | | y-5=4y+1 | | 3a-4=6a+2 | | 6.1-.7x=-.5 | | 4w-4l=56 | | 6.1-.7x=-6 | | -10=4x-3x-5 | | 9+.25m=5 | | -4-8(n-8)=92 | | 27t^2+324t+2197=0 | | sin^2(3x)=cos^2(3x) | | 4w+16-4l=72 | | [x-5]=45 | | [7(a+5)-18]-[2(a-3)+2]= | | 3(x+5)=2(x+3) |