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Simplifying 8x = 48 + -1x2 Solving 8x = 48 + -1x2 Solving for variable 'x'. Reorder the terms: -48 + 8x + x2 = 48 + -1x2 + -48 + x2 Reorder the terms: -48 + 8x + x2 = 48 + -48 + -1x2 + x2 Combine like terms: 48 + -48 = 0 -48 + 8x + x2 = 0 + -1x2 + x2 -48 + 8x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -48 + 8x + x2 = 0 Factor a trinomial. (-12 + -1x)(4 + -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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-12, 4}
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