4x^3-36x^2=40x

Solution for 4x^3-36x^2=40x equation:

Simplifying
4x3 + -36x2 = 40x

Reorder the terms:
-36x2 + 4x3 = 40x

Solving
-36x2 + 4x3 = 40x

Solving for variable 'x'.

Reorder the terms:
-40x + -36x2 + 4x3 = 40x + -40x

Combine like terms: 40x + -40x = 0
-40x + -36x2 + 4x3 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(-10 + -9x + x2) = 0

Factor a trinomial.
4x((-1 + -1x)(10 + -1x)) = 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 '(-1 + -1x)' equal to zero and attempt to solve:

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

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

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

Divide each side by '-1'.
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {0, -1, 10}