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Simplifying 8x2 + 4x = 544 Reorder the terms: 4x + 8x2 = 544 Solving 4x + 8x2 = 544 Solving for variable 'x'. Reorder the terms: -544 + 4x + 8x2 = 544 + -544 Combine like terms: 544 + -544 = 0 -544 + 4x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-136 + x + 2x2) = 0 Factor a trinomial. 4((-17 + -2x)(8 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-17 + -2x)' equal to zero and attempt to solve: Simplifying -17 + -2x = 0 Solving -17 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -2x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 0 + 17 -2x = 0 + 17 Combine like terms: 0 + 17 = 17 -2x = 17 Divide each side by '-2'. x = -8.5 Simplifying x = -8.5Subproblem 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 = {-8.5, 8}
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