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Simplifying 10x2 + 162x + 656 = 0 Reorder the terms: 656 + 162x + 10x2 = 0 Solving 656 + 162x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(328 + 81x + 5x2) = 0 Factor a trinomial. 2((41 + 5x)(8 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(41 + 5x)' equal to zero and attempt to solve: Simplifying 41 + 5x = 0 Solving 41 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + 5x = 0 + -41 Combine like terms: 41 + -41 = 0 0 + 5x = 0 + -41 5x = 0 + -41 Combine like terms: 0 + -41 = -41 5x = -41 Divide each side by '5'. x = -8.2 Simplifying x = -8.2Subproblem 2
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 = -8Solution
x = {-8.2, -8}
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