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Simplifying 16x + 130 = 2x2 Reorder the terms: 130 + 16x = 2x2 Solving 130 + 16x = 2x2 Solving for variable 'x'. Combine like terms: 2x2 + -2x2 = 0 130 + 16x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(65 + 8x + -1x2) = 0 Factor a trinomial. 2((13 + -1x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {13, -5}
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