0=4x-x^3

Simple and best practice solution for 0=4x-x^3 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 0=4x-x^3 equation:


Simplifying
0 = 4x + -1x3

Solving
0 = 4x + -1x3

Solving for variable 'x'.
Remove the zero:
-4x + x3 = 4x + -1x3 + -4x + x3

Reorder the terms:
-4x + x3 = 4x + -4x + -1x3 + x3

Combine like terms: 4x + -4x = 0
-4x + x3 = 0 + -1x3 + x3
-4x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-4x + x3 = 0

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

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

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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2

Subproblem 3

Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2

Solution

x = {0, -2, 2}

See similar equations:

| 11x-18=6x-2 | | 5x-16y+1=0 | | 6b^2+11b+3=0 | | 6x^2-12x-24=0 | | 1y+7=16 | | 6y+5=47 | | 6x^4+8x^3-8x^2=0 | | 7n-n=-48 | | 12-a=7 | | 12a=7 | | 5.1=1.02 | | (7x+3)(5x+9)=360 | | (4a^3-2a+1)-(a^3-2a+3)=0 | | 1-ln(x-1)=0 | | 16-u=-17 | | 4n-32=40 | | x^2+2x+3= | | 2x-6=2x+6 | | 249-2x=43x-19 | | 2x+3x=4x | | (8+9j)+(3i+2)= | | 2Y+3X=28 | | 0.3(9+t)=4.1t+0.8 | | 4(2z-3)=7(z+2) | | 2(x+7)=7x+5 | | 10n^2-14n= | | 5p-48=-1p-6 | | -49+16a^2-a=0 | | 13p(8p-15)=0 | | x+6=6(x+2) | | (w+2)(5w+15)=0 | | 0.3t=1.5 |

Equations solver categories