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