2x(x+6)(x-15)=0

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Solution for 2x(x+6)(x-15)=0 equation: 


Simplifying
2x(x + 6)(x + -15) = 0

Reorder the terms:
2x(6 + x)(x + -15) = 0

Reorder the terms:
2x(6 + x)(-15 + x) = 0

Multiply (6 + x) * (-15 + x)
2x(6(-15 + x) + x(-15 + x)) = 0
2x((-15 * 6 + x * 6) + x(-15 + x)) = 0
2x((-90 + 6x) + x(-15 + x)) = 0
2x(-90 + 6x + (-15 * x + x * x)) = 0
2x(-90 + 6x + (-15x + x2)) = 0

Combine like terms: 6x + -15x = -9x
2x(-90 + -9x + x2) = 0
(-90 * 2x + -9x * 2x + x2 * 2x) = 0
(-180x + -18x2 + 2x3) = 0

Solving
-180x + -18x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-90 + -9x + x2) = 0

Factor a trinomial.
2x((-6 + -1x)(15 + -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

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 3
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {0, -6, 15}

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