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

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


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

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

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

Multiply (-13 + 12x) * (12 + -12x)
(-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)) = 0

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

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

Solving for variable 'x'.

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

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

Ignore the factor 12.

Subproblem 1

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

Subproblem 2

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

Solution

x = {1.083333333, 1}

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