2x^3-16x^2+24x=0

Simple and best practice solution for 2x^3-16x^2+24x=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 2x^3-16x^2+24x=0 equation:


Simplifying
2x3 + -16x2 + 24x = 0

Reorder the terms:
24x + -16x2 + 2x3 = 0

Solving
24x + -16x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(12 + -8x + x2) = 0

Factor a trinomial.
2x((2 + -1x)(6 + -1x)) = 0

Ignore the factor 2.

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 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Subproblem 3

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {0, 2, 6}

See similar equations:

| 3x+2.6=x+2.4 | | 4(x-6)=8x+16 | | 4x-0.2=2x | | 2n+3=15 | | -9(x-9)=3(x+47) | | 72+-8-3x=73 | | 2y=-33 | | 3b-1=14-2b | | 6.5(x-3)=2.4(3-x) | | .5z-4=5z-31 | | -2z^2+8z+5=0 | | 0=150+90x-4.905x^2 | | 0.5(x+2)=0.1x+0.6(x-3) | | -12(x+8)=4(x+8) | | 5x^2+30x+225=0 | | 4(b+8)-7b= | | 13x=15y+65 | | 5z+2-8z=-3z+2 | | 3(a+3)=12(a-5) | | 5z+2-82=-32+2 | | 8(x+5)=-4(x+17) | | 2x+1+3x= | | M+2m+4= | | b-14=-2 | | 11x+8y=153 | | -16(x+6)=4(x-64) | | 2u^2-3u-13-u^2-2u-1=0 | | -12(x+7)=3(x-53) | | 2-7x=75 | | n^2-6n-1=0 | | 27=p-13 | | 11f=6f-15 |

Equations solver categories