4x^3+40x^2+100x=0

Simple and best practice solution for 4x^3+40x^2+100x=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 4x^3+40x^2+100x=0 equation:


Simplifying
4x3 + 40x2 + 100x = 0

Reorder the terms:
100x + 40x2 + 4x3 = 0

Solving
100x + 40x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(25 + 10x + x2) = 0

Factor a trinomial.
4x((5 + x)(5 + x)) = 0

Ignore the factor 4.

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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 3

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Solution

x = {0, -5, -5}

See similar equations:

| 242-4x=41x+22 | | 14-9x=54-16x | | 112-2x=16x+16 | | -x^2=6x-2 | | 2x-25=12x-55 | | 8x^4-48x^3=56x^2 | | 1=3x-11 | | x^2=5x+24 | | -x^2+8x=20 | | 23-7(x+3)+3x=10 | | 4y-6=1-24 | | 6x+24=3x-2 | | 8b+3b= | | 45=-15(p+7) | | 170-2x=43x+15 | | -169-9x=10x+1 | | 11-10x=26-17x | | -3y^2-28y-49=0 | | -3y^2-287-49=0 | | (x-6)(4x+7)=0 | | 6x+9=119-10x | | y=x^2-11x+28 | | y=x^2-7x-8 | | 4(3x-1)=2(x+3) | | -10x=5.5 | | y=x^2+4x-21 | | 71-3x=9x+23 | | X+11(x+11)=104 | | 4x+9=79+6x | | 48=14+6(4+x)-3x | | 5x+27=15x-23 | | 8a-5=6a+3 |

Equations solver categories