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Simplifying (-14 + -1x)(12 + -1x) = 0 Multiply (-14 + -1x) * (12 + -1x) (-14(12 + -1x) + -1x * (12 + -1x)) = 0 ((12 * -14 + -1x * -14) + -1x * (12 + -1x)) = 0 ((-168 + 14x) + -1x * (12 + -1x)) = 0 (-168 + 14x + (12 * -1x + -1x * -1x)) = 0 (-168 + 14x + (-12x + 1x2)) = 0 Combine like terms: 14x + -12x = 2x (-168 + 2x + 1x2) = 0 Solving -168 + 2x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-14 + -1x)(12 + -1x) = 0Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve: Simplifying -14 + -1x = 0 Solving -14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14Subproblem 2
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 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-14, 12}
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