3x^3+15x^2-108x=0

Simple and best practice solution for 3x^3+15x^2-108x=0 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 3x^3+15x^2-108x=0 equation:


Simplifying
3x3 + 15x2 + -108x = 0

Reorder the terms:
-108x + 15x2 + 3x3 = 0

Solving
-108x + 15x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-36 + 5x + x2) = 0

Factor a trinomial.
3x((-9 + -1x)(4 + -1x)) = 0

Ignore the factor 3.

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 '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 3

Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

Solution

x = {0, -9, 4}

See similar equations:

| 39-18=3(x-6) | | -(x-7)=-1 | | -12t-0.6=-0.06 | | 3x-4=3(3x+1)+5 | | -12x^2+27x-6=0 | | -14x-20=11x+115 | | (x-18)6=42 | | 6(9a+5b)= | | 33=3+6x | | 5/6x1/2x2/3 | | 4w-10w=24 | | 0=-4x^2-9x-7 | | 4/3(3.14)216 | | 3(4x+4)=132 | | 3+5(x-9)=10-7(x-5) | | 4x-2x^2=56 | | 120x-16x^2-190=0 | | -2.3x=25.76 | | 4x+2(-5x-3)=-54 | | 4y-2y^2=56 | | -5(3t-2)+9t=2t-3 | | 43X=-800 | | 8x-9y+14=0 | | (x-10)7=56 | | y=n^2-9n+8 | | 3x^2-39x-90= | | 73=7x+3 | | 9x+5x+2+7=9x+4+4x | | (x-8)2=18 | | 2x(9y-14)= | | Y-x=28 | | 2x+x-2=7 |

Equations solver categories