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Simplifying 12 * 27 = x(36 + -1x) Multiply 12 * 27 324 = x(36 + -1x) 324 = (36 * x + -1x * x) 324 = (36x + -1x2) Solving 324 = 36x + -1x2 Solving for variable 'x'. Reorder the terms: 324 + -36x + x2 = 36x + -36x + -1x2 + x2 Combine like terms: 36x + -36x = 0 324 + -36x + x2 = 0 + -1x2 + x2 324 + -36x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 324 + -36x + x2 = 0 Factor a trinomial. (18 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {18, 18}
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