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Simplifying 8x2 = 448 + -8x Solving 8x2 = 448 + -8x Solving for variable 'x'. Reorder the terms: -448 + 8x + 8x2 = 448 + -8x + -448 + 8x Reorder the terms: -448 + 8x + 8x2 = 448 + -448 + -8x + 8x Combine like terms: 448 + -448 = 0 -448 + 8x + 8x2 = 0 + -8x + 8x -448 + 8x + 8x2 = -8x + 8x Combine like terms: -8x + 8x = 0 -448 + 8x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(-56 + x + x2) = 0 Factor a trinomial. 8((-8 + -1x)(7 + -1x)) = 0 Ignore the factor 8.Subproblem 1
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 = -8Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-8, 7}
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