2x(X+6)(X-5)=0

Solution for 2x(X+6)(X-5)=0 equation:

Simplifying
2x(X + 6)(X + -5) = 0

Reorder the terms:
2x(6 + X)(X + -5) = 0

Reorder the terms:
2x(6 + X)(-5 + X) = 0

Multiply (6 + X) * (-5 + X)
2x(6(-5 + X) + X(-5 + X)) = 0
2x((-5 * 6 + X * 6) + X(-5 + X)) = 0
2x((-30 + 6X) + X(-5 + X)) = 0
2x(-30 + 6X + (-5 * X + X * X)) = 0
2x(-30 + 6X + (-5X + X2)) = 0

Combine like terms: 6X + -5X = 1X
2x(-30 + 1X + X2) = 0
(-30 * 2x + 1X * 2x + X2 * 2x) = 0
(-60x + 2xX + 2xX2) = 0

Solving
-60x + 2xX + 2xX2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-30 + X + X2) = 0

Factor a trinomial.
2x((-6 + -1X)(5 + -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 '(-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

Add 'X' to each side of the equation.
-1X + X = 6 + X

Combine like terms: -1X + X = 0
0 = 6 + X

Simplifying
0 = 6 + X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(5 + -1X)' equal to zero and attempt to solve:

Simplifying
5 + -1X = 0

Solving
5 + -1X = 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 + -1X = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1X = 0 + -5
-1X = 0 + -5

Combine like terms: 0 + -5 = -5
-1X = -5

Add 'X' to each side of the equation.
-1X + X = -5 + X

Combine like terms: -1X + X = 0
0 = -5 + X

Simplifying
0 = -5 + X

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}