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Simplifying 4x2 + 38x = -34 Reorder the terms: 38x + 4x2 = -34 Solving 38x + 4x2 = -34 Solving for variable 'x'. Reorder the terms: 34 + 38x + 4x2 = -34 + 34 Combine like terms: -34 + 34 = 0 34 + 38x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(17 + 19x + 2x2) = 0 Factor a trinomial. 2((17 + 2x)(1 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(17 + 2x)' equal to zero and attempt to solve: Simplifying 17 + 2x = 0 Solving 17 + 2x = 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 + 2x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 2x = 0 + -17 2x = 0 + -17 Combine like terms: 0 + -17 = -17 2x = -17 Divide each side by '2'. x = -8.5 Simplifying x = -8.5Subproblem 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 = {-8.5, -1}
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