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Simplifying 16x2 + 80 = -138x Reorder the terms: 80 + 16x2 = -138x Solving 80 + 16x2 = -138x Solving for variable 'x'. Reorder the terms: 80 + 138x + 16x2 = -138x + 138x Combine like terms: -138x + 138x = 0 80 + 138x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + 69x + 8x2) = 0 Factor a trinomial. 2((8 + x)(5 + 8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 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 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {-8, -0.625}
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