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Simplifying 108 = x(x + 3) Reorder the terms: 108 = x(3 + x) 108 = (3 * x + x * x) 108 = (3x + x2) Solving 108 = 3x + x2 Solving for variable 'x'. Reorder the terms: 108 + -3x + -1x2 = 3x + -3x + x2 + -1x2 Combine like terms: 3x + -3x = 0 108 + -3x + -1x2 = 0 + x2 + -1x2 108 + -3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 108 + -3x + -1x2 = 0 Factor a trinomial. (9 + -1x)(12 + 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 '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 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 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Solution
x = {9, -12}
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