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Simplifying 0 = -1x2 + 2x + 48 Reorder the terms: 0 = 48 + 2x + -1x2 Solving 0 = 48 + 2x + -1x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + -2x + x2 = 48 + 2x + -1x2 + -48 + -2x + x2 Reorder the terms: -48 + -2x + x2 = 48 + -48 + 2x + -2x + -1x2 + x2 Combine like terms: 48 + -48 = 0 -48 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 -48 + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 -48 + -2x + x2 = 0 + -1x2 + x2 -48 + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -48 + -2x + x2 = 0 Factor a trinomial. (-6 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve: Simplifying -6 + -1x = 0 Solving -6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-6, 8}
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