If it's not what You are looking for type in the equation solver your own equation and let us solve it.
Simplifying x3 + 6x2 + -13x = 0 Reorder the terms: -13x + 6x2 + x3 = 0 Solving -13x + 6x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-13 + 6x + x2) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-13 + 6x + x2)' equal to zero and attempt to solve: Simplifying -13 + 6x + x2 = 0 Solving -13 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '13' to each side of the equation. -13 + 6x + 13 + x2 = 0 + 13 Reorder the terms: -13 + 13 + 6x + x2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6x + x2 = 0 + 13 6x + x2 = 0 + 13 Combine like terms: 0 + 13 = 13 6x + x2 = 13 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 13 + 9 Reorder the terms: 9 + 6x + x2 = 13 + 9 Combine like terms: 13 + 9 = 22 9 + 6x + x2 = 22 Factor a perfect square on the left side: (x + 3)(x + 3) = 22 Calculate the square root of the right side: 4.69041576 Break this problem into two subproblems by setting (x + 3) equal to 4.69041576 and -4.69041576.Subproblem 1
x + 3 = 4.69041576 Simplifying x + 3 = 4.69041576 Reorder the terms: 3 + x = 4.69041576 Solving 3 + x = 4.69041576 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 4.69041576 + -3 Combine like terms: 3 + -3 = 0 0 + x = 4.69041576 + -3 x = 4.69041576 + -3 Combine like terms: 4.69041576 + -3 = 1.69041576 x = 1.69041576 Simplifying x = 1.69041576Subproblem 2
x + 3 = -4.69041576 Simplifying x + 3 = -4.69041576 Reorder the terms: 3 + x = -4.69041576 Solving 3 + x = -4.69041576 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -4.69041576 + -3 Combine like terms: 3 + -3 = 0 0 + x = -4.69041576 + -3 x = -4.69041576 + -3 Combine like terms: -4.69041576 + -3 = -7.69041576 x = -7.69041576 Simplifying x = -7.69041576Solution
The solution to the problem is based on the solutions from the subproblems. x = {1.69041576, -7.69041576}Solution
x = {0, 1.69041576, -7.69041576}
| 6a^2+13a=8 | | 4x-10+2x=26 | | 23-x^2=41 | | x^2+24x+27=0 | | 12r^2-45r-12=0 | | 7n-12=8-4n | | 3x^2-11x=42 | | -3(4x+7)=5x+6 | | 12x^2-24x-24=0 | | x*x+4=x*x+75 | | 6x-17.5=x | | x*x+16=41 | | 8+5x=-6x+30 | | 24-3x^3=0 | | 1.38=x^4 | | (z+5)*(z-8)=-3(z+8) | | 10-15x=22 | | 14x(x-4)=5(9-22x)+9x(x+6) | | 2g-m=5-gh | | 4x^3=5.5 | | 4x+5-7=26 | | -(8x+8)=-72 | | -2(6x-5)=46 | | 4x^2+5x+6=0 | | 9y^2+19=30y | | -x^2-198=0 | | 27p^3-108pq^3=0 | | x^2+18+76=0 | | -19=8-3(-2k-3) | | x+y=1300 | | 3(1-x)=24 | | -16h=8(2h-10) |