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Simplifying 8x2 + -86x + 230 = 0 Reorder the terms: 230 + -86x + 8x2 = 0 Solving 230 + -86x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(115 + -43x + 4x2) = 0 Factor a trinomial. 2((5 + -1x)(23 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(23 + -4x)' equal to zero and attempt to solve: Simplifying 23 + -4x = 0 Solving 23 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -4x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -4x = 0 + -23 -4x = 0 + -23 Combine like terms: 0 + -23 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75Solution
x = {5, 5.75}
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