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Simplifying 0 = 2x2 + 20x + -238 Reorder the terms: 0 = -238 + 20x + 2x2 Solving 0 = -238 + 20x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 238 = 238 238 + -20x + -2x2 = -238 + 20x + 2x2 + 238 + -20x + -2x2 Reorder the terms: 238 + -20x + -2x2 = -238 + 238 + 20x + -20x + 2x2 + -2x2 Combine like terms: -238 + 238 = 0 238 + -20x + -2x2 = 0 + 20x + -20x + 2x2 + -2x2 238 + -20x + -2x2 = 20x + -20x + 2x2 + -2x2 Combine like terms: 20x + -20x = 0 238 + -20x + -2x2 = 0 + 2x2 + -2x2 238 + -20x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 238 + -20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(119 + -10x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(17 + x)) = 0 Ignore the factor 2.Subproblem 1
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 = 7Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 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 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {7, -17}
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