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Simplifying 324 = x(15 + x) 324 = (15 * x + x * x) 324 = (15x + x2) Solving 324 = 15x + x2 Solving for variable 'x'. Reorder the terms: 324 + -15x + -1x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 324 + -15x + -1x2 = 0 + x2 + -1x2 324 + -15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 324 + -15x + -1x2 = 0 Factor a trinomial. (12 + -1x)(27 + x) = 0Subproblem 1
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 = 12Subproblem 2
Set the factor '(27 + x)' equal to zero and attempt to solve: Simplifying 27 + x = 0 Solving 27 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + x = 0 + -27 x = 0 + -27 Combine like terms: 0 + -27 = -27 x = -27 Simplifying x = -27Solution
x = {12, -27}
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