X(5x+12)(x-15)=0

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Solution for X(5x+12)(x-15)=0 equation: 


Simplifying
X(5x + 12)(x + -15) = 0

Reorder the terms:
X(12 + 5x)(x + -15) = 0

Reorder the terms:
X(12 + 5x)(-15 + x) = 0

Multiply (12 + 5x) * (-15 + x)
X(12(-15 + x) + 5x * (-15 + x)) = 0
X((-15 * 12 + x * 12) + 5x * (-15 + x)) = 0
X((-180 + 12x) + 5x * (-15 + x)) = 0
X(-180 + 12x + (-15 * 5x + x * 5x)) = 0
X(-180 + 12x + (-75x + 5x2)) = 0

Combine like terms: 12x + -75x = -63x
X(-180 + -63x + 5x2) = 0
(-180 * X + -63x * X + 5x2 * X) = 0
(-180X + -63xX + 5x2X) = 0

Solving
-180X + -63xX + 5x2X = 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), 'X'.
X(-180 + -63x + 5x2) = 0

Factor a trinomial.
X((-12 + -5x)(15 + -1x)) = 0


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 '(-12 + -5x)' equal to zero and attempt to solve:

Simplifying
-12 + -5x = 0

Solving
-12 + -5x = 0

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

Add '12' to each side of the equation.
-12 + 12 + -5x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -5x = 0 + 12
-5x = 0 + 12

Combine like terms: 0 + 12 = 12
-5x = 12

Add '5x' to each side of the equation.
-5x + 5x = 12 + 5x

Combine like terms: -5x + 5x = 0
0 = 12 + 5x

Simplifying
0 = 12 + 5x

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 '(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

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

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

Simplifying
0 = -15 + 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}

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