12x^3-14x^2-40x=0

Simple and best practice solution for 12x^3-14x^2-40x=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 12x^3-14x^2-40x=0 equation: 


Simplifying
12x3 + -14x2 + -40x = 0

Reorder the terms:
-40x + -14x2 + 12x3 = 0

Solving
-40x + -14x2 + 12x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-20 + -7x + 6x2) = 0

Factor a trinomial.
2x((-4 + -3x)(5 + -2x)) = 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 '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 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 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, -1.333333333, 2.5}

See similar equations:

| -4x^2+10x-1=0 | | -9a=81 | | 12x^3-14x^2-40x=2x-5 | | 4x+3*0=-12 | | 0.8e=-24 | | 4x-6*0=36 | | 71=4-x | | (u+2)(u+2)=0 | | 4x-2*-8=8 | | 4x-2*0=8 | | 4*0-2y=8 | | 2y-12=4 | | x^2+2z=v^2 | | -1-0= | | -20-(-18)= | | 13-4y=25 | | -5-5x=0 | | y-5(2)=0 | | 3-5x=0 | | 2-5x=0 | | 9=-2*0+9 | | A-28=59 | | 9=-2 | | y=-2*0+9 | | 5(-3x+3)= | | 9=-2x+7 | | -8=-13+r | | 8(x-13)=24 | | -25=n-14 | | 3x=-45 | | -20=-5v | | 58815= |

Equations solver categories