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Simplifying 8x2 + 18x + -518 = 0 Reorder the terms: -518 + 18x + 8x2 = 0 Solving -518 + 18x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-259 + 9x + 4x2) = 0 Factor a trinomial. 2((-37 + -4x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-37 + -4x)' equal to zero and attempt to solve: Simplifying -37 + -4x = 0 Solving -37 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + -4x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + -4x = 0 + 37 -4x = 0 + 37 Combine like terms: 0 + 37 = 37 -4x = 37 Divide each side by '-4'. x = -9.25 Simplifying x = -9.25Subproblem 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 = {-9.25, 7}
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