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Simplifying 8x2 + 40x = 238 Reorder the terms: 40x + 8x2 = 238 Solving 40x + 8x2 = 238 Solving for variable 'x'. Reorder the terms: -238 + 40x + 8x2 = 238 + -238 Combine like terms: 238 + -238 = 0 -238 + 40x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-119 + 20x + 4x2) = 0 Factor a trinomial. 2((-17 + -2x)(7 + -2x)) = 0 Ignore the factor 2.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 '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {-8.5, 3.5}
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