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Simplifying 0 = x2 + -18x + 32 Reorder the terms: 0 = 32 + -18x + x2 Solving 0 = 32 + -18x + x2 Solving for variable 'x'. Combine like terms: 0 + -32 = -32 -32 + 18x + -1x2 = 32 + -18x + x2 + -32 + 18x + -1x2 Reorder the terms: -32 + 18x + -1x2 = 32 + -32 + -18x + 18x + x2 + -1x2 Combine like terms: 32 + -32 = 0 -32 + 18x + -1x2 = 0 + -18x + 18x + x2 + -1x2 -32 + 18x + -1x2 = -18x + 18x + x2 + -1x2 Combine like terms: -18x + 18x = 0 -32 + 18x + -1x2 = 0 + x2 + -1x2 -32 + 18x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -32 + 18x + -1x2 = 0 Factor a trinomial. (-16 + x)(2 + -1x) = 0Subproblem 1
Set the factor '(-16 + x)' equal to zero and attempt to solve: Simplifying -16 + x = 0 Solving -16 + x = 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 + x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + x = 0 + 16 x = 0 + 16 Combine like terms: 0 + 16 = 16 x = 16 Simplifying x = 16Subproblem 2
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 = 2Solution
x = {16, 2}
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