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

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


Simplifying
100x3 + -40x2 + 4x = 0

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

Solving
4x + -40x2 + 100x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -10x + 25x2) = 0

Factor a trinomial.
4x((1 + -5x)(1 + -5x)) = 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Subproblem 3

Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0, 0.2, 0.2}

See similar equations:

| 15t^2-107t+144=0 | | 3=3x+6 | | 99=x^2-2x | | -6k-8k=7/3 | | 9.5+4.5(1-8.5h)=-23.5 | | 2(5+x)=-5+4x | | X-53=-34 | | 315=(21*x)+x | | 13x+2y=164 | | 3z-11=z+12 | | 5z+2=8z+2 | | 4x^2+5y=6 | | 3x^2-xy-30y^2=0 | | 150+2x=y | | X-171=-212 | | 2n^3-6n^2-176n=0 | | *11/k=-3 | | 542-X=-405 | | 63x^2+67x-18=0 | | 4z+1=360 | | ln(x+6)+ln(x+1)=0 | | 2y+7x=378 | | 6x-35=2x+3 | | 8k^2-18k+35=-2k | | 2x+10+3x-6=64 | | X-(-13)=-76 | | 8n^3-24n^2-80n=0 | | 2z-13=2z+14 | | 0.5a=42 | | 12m^2+44m-45=0 | | -6x-17=-4x+17 | | 9t-21=39t-70+6t |

Equations solver categories