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Simplifying 216 = 30x + -1x2 Solving 216 = 30x + -1x2 Solving for variable 'x'. Reorder the terms: 216 + -30x + x2 = 30x + -30x + -1x2 + x2 Combine like terms: 30x + -30x = 0 216 + -30x + x2 = 0 + -1x2 + x2 216 + -30x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 216 + -30x + x2 = 0 Factor a trinomial. (12 + -1x)(18 + -1x) = 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 '(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 = {12, 18}
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