=(12x-13)(-12x+12)

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Solution for =(12x-13)(-12x+12) equation: 


Simplifying
0 = (12x + -13)(-12x + 12)

Reorder the terms:
0 = (-13 + 12x)(-12x + 12)

Reorder the terms:
0 = (-13 + 12x)(12 + -12x)

Multiply (-13 + 12x) * (12 + -12x)
0 = (-13(12 + -12x) + 12x * (12 + -12x))
0 = ((12 * -13 + -12x * -13) + 12x * (12 + -12x))
0 = ((-156 + 156x) + 12x * (12 + -12x))
0 = (-156 + 156x + (12 * 12x + -12x * 12x))
0 = (-156 + 156x + (144x + -144x2))

Combine like terms: 156x + 144x = 300x
0 = (-156 + 300x + -144x2)

Solving
0 = -156 + 300x + -144x2

Solving for variable 'x'.

Combine like terms: 0 + 156 = 156
156 + -300x + 144x2 = -156 + 300x + -144x2 + 156 + -300x + 144x2

Reorder the terms:
156 + -300x + 144x2 = -156 + 156 + 300x + -300x + -144x2 + 144x2

Combine like terms: -156 + 156 = 0
156 + -300x + 144x2 = 0 + 300x + -300x + -144x2 + 144x2
156 + -300x + 144x2 = 300x + -300x + -144x2 + 144x2

Combine like terms: 300x + -300x = 0
156 + -300x + 144x2 = 0 + -144x2 + 144x2
156 + -300x + 144x2 = -144x2 + 144x2

Combine like terms: -144x2 + 144x2 = 0
156 + -300x + 144x2 = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(13 + -25x + 12x2) = 0

Factor a trinomial.
12((1 + -1x)(13 + -12x)) = 0

Ignore the factor 12.

Subproblem 1
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 2
Set the factor '(13 + -12x)' equal to zero and attempt to solve:

Simplifying
13 + -12x = 0

Solving
13 + -12x = 0

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

Add '-13' to each side of the equation.
13 + -13 + -12x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -12x = 0 + -13
-12x = 0 + -13

Combine like terms: 0 + -13 = -13
-12x = -13

Divide each side by '-12'.
x = 1.083333333

Simplifying
x = 1.083333333
Solution
x = {1, 1.083333333}

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