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Simplifying (x + 12)(x) = 189 Reorder the terms: (12 + x)(x) = 189 Reorder the terms for easier multiplication: x(12 + x) = 189 (12 * x + x * x) = 189 (12x + x2) = 189 Solving 12x + x2 = 189 Solving for variable 'x'. Reorder the terms: -189 + 12x + x2 = 189 + -189 Combine like terms: 189 + -189 = 0 -189 + 12x + x2 = 0 Factor a trinomial. (-21 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-21 + -1x)' equal to zero and attempt to solve: Simplifying -21 + -1x = 0 Solving -21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-21, 9}
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