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Simplifying 8x2 + -136x + 290 = 0 Reorder the terms: 290 + -136x + 8x2 = 0 Solving 290 + -136x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(145 + -68x + 4x2) = 0 Factor a trinomial. 2((5 + -2x)(29 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(29 + -2x)' equal to zero and attempt to solve: Simplifying 29 + -2x = 0 Solving 29 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -2x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -2x = 0 + -29 -2x = 0 + -29 Combine like terms: 0 + -29 = -29 -2x = -29 Divide each side by '-2'. x = 14.5 Simplifying x = 14.5Solution
x = {2.5, 14.5}
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