2x^3+6x^2=36x

Simple and best practice solution for 2x^3+6x^2=36x equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2x^3+6x^2=36x equation:


Simplifying
2x3 + 6x2 = 36x

Reorder the terms:
6x2 + 2x3 = 36x

Solving
6x2 + 2x3 = 36x

Solving for variable 'x'.

Reorder the terms:
-36x + 6x2 + 2x3 = 36x + -36x

Combine like terms: 36x + -36x = 0
-36x + 6x2 + 2x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-18 + 3x + x2) = 0

Factor a trinomial.
2x((-6 + -1x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 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 = 0

Subproblem 2

Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6

Subproblem 3

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {0, -6, 3}

See similar equations:

| uv^2-u^2v=0 | | u^2+2uv+v^2=0 | | 7(x-2)=3(x+4) | | 7x-4=5x+15 | | 4(3+f)+6f=-24 | | -32-5b=-b-2(6b+4) | | 2(2+7v)=-38+7v | | 12x^2-17x+6=0 | | 1.2x^2-1.7x+0.6=0 | | 4*25.75-13=51 | | -4k+14=7(2-7k) | | 4*25.7513=51 | | 8(4-6m)=6m+32 | | s^2+12s=0 | | 6(m-7)=2m-10 | | 6(17-2y)-y=-15 | | -34-2r=8(3+7r) | | x+2y=17 | | 7n+22=-n-2(-2n+1) | | -3(2z-7)=-3z+21-3z | | 5b^2-24b+16=0 | | 5x*(x-2)=0 | | -7(2x+2)=14 | | 7=7(5-2b) | | 3x-7=0 | | 3x^2-8x-16=0 | | 35=7(m+8) | | 46=-2(1-4x) | | 5k^2-12k-9=0 | | 2p+5x=20 | | 3(2z-7)=5z+17+z | | x^2-8*x=0 |

Equations solver categories