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Simplifying 0 = -1x2 + 16x + 36 Reorder the terms: 0 = 36 + 16x + -1x2 Solving 0 = 36 + 16x + -1x2 Solving for variable 'x'. Combine like terms: 0 + -36 = -36 -36 + -16x + x2 = 36 + 16x + -1x2 + -36 + -16x + x2 Reorder the terms: -36 + -16x + x2 = 36 + -36 + 16x + -16x + -1x2 + x2 Combine like terms: 36 + -36 = 0 -36 + -16x + x2 = 0 + 16x + -16x + -1x2 + x2 -36 + -16x + x2 = 16x + -16x + -1x2 + x2 Combine like terms: 16x + -16x = 0 -36 + -16x + x2 = 0 + -1x2 + x2 -36 + -16x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -36 + -16x + x2 = 0 Factor a trinomial. (-2 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 18}
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