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

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


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

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

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

Reorder the terms for easier multiplication:
X(-12 + x)(5 + x) = 0

Multiply (-12 + x) * (5 + x)
X(-12(5 + x) + x(5 + x)) = 0
X((5 * -12 + x * -12) + x(5 + x)) = 0
X((-60 + -12x) + x(5 + x)) = 0
X(-60 + -12x + (5 * x + x * x)) = 0
X(-60 + -12x + (5x + x2)) = 0

Combine like terms: -12x + 5x = -7x
X(-60 + -7x + x2) = 0
(-60 * X + -7x * X + x2 * X) = 0
(-60X + -7xX + x2X) = 0

Solving
-60X + -7xX + x2X = 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(-60 + -7x + x2) = 0

Factor a trinomial.
X((-5 + -1x)(12 + -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 '(-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.

Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 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 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Add 'x' to each side of the equation.
-1x + x = -12 + x

Combine like terms: -1x + x = 0
0 = -12 + x

Simplifying
0 = -12 + 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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