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Simplifying 10x2 + 58x + 76 = 0 Reorder the terms: 76 + 58x + 10x2 = 0 Solving 76 + 58x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(38 + 29x + 5x2) = 0 Factor a trinomial. 2((19 + 5x)(2 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(19 + 5x)' equal to zero and attempt to solve: Simplifying 19 + 5x = 0 Solving 19 + 5x = 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 + 5x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 0 + -19 5x = 0 + -19 Combine like terms: 0 + -19 = -19 5x = -19 Divide each side by '5'. x = -3.8 Simplifying x = -3.8Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-3.8, -2}
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