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Simplifying 4x2 + 80x = -76 Reorder the terms: 80x + 4x2 = -76 Solving 80x + 4x2 = -76 Solving for variable 'x'. Reorder the terms: 76 + 80x + 4x2 = -76 + 76 Combine like terms: -76 + 76 = 0 76 + 80x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(19 + 20x + x2) = 0 Factor a trinomial. 4((19 + x)(1 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Simplifying x = -19Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-19, -1}
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