0=4x^3-8x^2-32x

Simple and best practice solution for 0=4x^3-8x^2-32x 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^3-8x^2-32x equation:


Simplifying
0 = 4x3 + -8x2 + -32x

Reorder the terms:
0 = -32x + -8x2 + 4x3

Solving
0 = -32x + -8x2 + 4x3

Solving for variable 'x'.
Remove the zero:
32x + 8x2 + -4x3 = -32x + -8x2 + 4x3 + 32x + 8x2 + -4x3

Reorder the terms:
32x + 8x2 + -4x3 = -32x + 32x + -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: -32x + 32x = 0
32x + 8x2 + -4x3 = 0 + -8x2 + 8x2 + 4x3 + -4x3
32x + 8x2 + -4x3 = -8x2 + 8x2 + 4x3 + -4x3

Combine like terms: -8x2 + 8x2 = 0
32x + 8x2 + -4x3 = 0 + 4x3 + -4x3
32x + 8x2 + -4x3 = 4x3 + -4x3

Combine like terms: 4x3 + -4x3 = 0
32x + 8x2 + -4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(8 + 2x + -1x2) = 0

Factor a trinomial.
4x((4 + -1x)(2 + 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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4

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, 4, -2}

See similar equations:

| (7x^2+4)-(-5y^2+4)= | | 2(y-1)=-1(y+2) | | 2(x-1)=-1(y+2) | | X+6x-2=5 | | sw-12=4(w-7) | | y+25=5y+25 | | 3(3-r)=2r+4 | | 3(3-r)=2r+5 | | 3x+30=12x-105 | | z^2-2z-3= | | 2x+5=24x-1 | | 5b+80+3b+36=180 | | 315=(x+2)(x+5) | | 2x+6=6(x-5) | | 8x-11=3x+24 | | p^2-p-12= | | 75+15N= | | 0=2x^2+8x-24 | | (3x-5)(x+2)= | | 4x+3(-7x-9)=177 | | 4x+3(-7-9)=177 | | (2-7x)(5+4x)=0 | | 5(9x-5)=290 | | (7/8-1/4)/4/5= | | 15+3t=12+4t | | -5=-6-r | | s=gct | | (-4+3)+(11y-5)= | | .10x=.06x+80 | | f(x)=2.2x-4 | | 3(2x-4)+5= | | x*x-8x-16=0 |

Equations solver categories