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Simplifying 520 = 2x2 + 14x Reorder the terms: 520 = 14x + 2x2 Solving 520 = 14x + 2x2 Solving for variable 'x'. Reorder the terms: 520 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2 Combine like terms: 14x + -14x = 0 520 + -14x + -2x2 = 0 + 2x2 + -2x2 520 + -14x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 520 + -14x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(260 + -7x + -1x2) = 0 Factor a trinomial. 2((13 + -1x)(20 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(20 + x)' equal to zero and attempt to solve: Simplifying 20 + x = 0 Solving 20 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + x = 0 + -20 x = 0 + -20 Combine like terms: 0 + -20 = -20 x = -20 Simplifying x = -20Solution
x = {13, -20}
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