3x^3+27x^2+54x=0

Simple and best practice solution for 3x^3+27x^2+54x=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+27x^2+54x=0 equation:


Simplifying
3x3 + 27x2 + 54x = 0

Reorder the terms:
54x + 27x2 + 3x3 = 0

Solving
54x + 27x2 + 3x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3x'.
3x(18 + 9x + x2) = 0

Factor a trinomial.
3x((6 + x)(3 + x)) = 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

Subproblem 3

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3

Solution

x = {0, -6, -3}

See similar equations:

| 85x+100y=519 | | y=89x+100 | | x^2-21x+68=0 | | (k/4)=(-17/2) | | -(-5-(-2))-(-14)= | | 4=1+x/4 | | 4x^2-90x+272=0 | | 7-2(x+3)-x=5 | | 7-3(x+3)-x=5 | | (2/3)(y+8)=(4/9)(y+6) | | (q/-9)=-9 | | 5(2+12x)=10 | | 3b-4-6b-6= | | -39=(q/3) | | 3(4-2y)=4+2y | | a+3b=100 | | 7-(x-2)=12 | | (-6)(-25)-8y=48 | | 35=(j/5) | | 7r=(7/2) | | 7500.00+155.00=7500.00 | | -(5-x)-(8x+2)=3x | | 3d-10=5d-20 | | -5n+83=7 | | qs=4p-1 | | 9a^2-18ab+8b^2= | | a^6-729=0 | | 28n^2-31np-5p^2= | | 2X-4X=-1 | | y=-9x-1/4(-8,6) | | 13*8= | | 8x^4+14x^3+5x^2= |

Equations solver categories