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Simplifying -14x + 4 = -1x2 + 36 Reorder the terms: 4 + -14x = -1x2 + 36 Reorder the terms: 4 + -14x = 36 + -1x2 Solving 4 + -14x = 36 + -1x2 Solving for variable 'x'. Reorder the terms: 4 + -36 + -14x + x2 = 36 + -1x2 + -36 + x2 Combine like terms: 4 + -36 = -32 -32 + -14x + x2 = 36 + -1x2 + -36 + x2 Reorder the terms: -32 + -14x + x2 = 36 + -36 + -1x2 + x2 Combine like terms: 36 + -36 = 0 -32 + -14x + x2 = 0 + -1x2 + x2 -32 + -14x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -32 + -14x + x2 = 0 Factor a trinomial. (-2 + -1x)(16 + -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 '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Solution
x = {-2, 16}
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