125x^3-20x=0

Simple and best practice solution for 125x^3-20x=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 125x^3-20x=0 equation:


Simplifying
125x3 + -20x = 0

Reorder the terms:
-20x + 125x3 = 0

Solving
-20x + 125x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-4 + 25x2) = 0

Factor a difference between two squares.
5x((2 + 5x)(-2 + 5x)) = 0

Ignore the factor 5.

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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4

Subproblem 3

Set the factor '(-2 + 5x)' equal to zero and attempt to solve: Simplifying -2 + 5x = 0 Solving -2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5x = 0 + 2 5x = 0 + 2 Combine like terms: 0 + 2 = 2 5x = 2 Divide each side by '5'. x = 0.4 Simplifying x = 0.4

Solution

x = {0, -0.4, 0.4}

See similar equations:

| 6x-15=x+15+5x | | 100+10j=15j | | 9t+9-3t-7= | | 0=y^2+10y+9 | | 3x-5=7x+x-15 | | 9-4w=-11 | | 5(1+4h)+2h=27 | | 12k+9m-2m-12k= | | 5a+2=3a+2 | | 3+2x=14-3x | | 35.00+0.75x=1.25x | | 3x+16=5-x | | 5h^2-15h-270= | | 2x+3+51=180 | | 2-6(z+1)=4(z-2)+10 | | 2s^2-128= | | 5(3b-5)=4(6b-2) | | 2x+3y=7800 | | 3+4x-3=13 | | 12a+3=25 | | 25+8x=7 | | -16=7[p+3]+30 | | 10t+15-10-6t= | | -12(10-11x)=-6(x-3) | | 210+10+400+x=1000 | | 4x-7+1=8 | | 3x-4x+1=5 | | -12(10-11x)=-6(-3) | | 2r^2-9r= | | 8u+20=4(2u+5) | | x+40=2x-20 | | 5x-4(-2)=5 |

Equations solver categories