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Simplifying 189 = (x + 12)(x) Reorder the terms: 189 = (12 + x)(x) Reorder the terms for easier multiplication: 189 = x(12 + x) 189 = (12 * x + x * x) 189 = (12x + x2) Solving 189 = 12x + x2 Solving for variable 'x'. Reorder the terms: 189 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 189 + -12x + -1x2 = 0 + x2 + -1x2 189 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 189 + -12x + -1x2 = 0 Factor a trinomial. (9 + -1x)(21 + x) = 0Subproblem 1
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 = 9Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 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 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {9, -21}
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