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Simplifying 8x2 + -1x + -520 = 0 Reorder the terms: -520 + -1x + 8x2 = 0 Solving -520 + -1x + 8x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -1x)(65 + -8x) = 0Subproblem 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 '(65 + -8x)' equal to zero and attempt to solve: Simplifying 65 + -8x = 0 Solving 65 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + -65 + -8x = 0 + -65 Combine like terms: 65 + -65 = 0 0 + -8x = 0 + -65 -8x = 0 + -65 Combine like terms: 0 + -65 = -65 -8x = -65 Divide each side by '-8'. x = 8.125 Simplifying x = 8.125Solution
x = {-8, 8.125}
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