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Simplifying 60x2 + 594x + 477 = -9 Reorder the terms: 477 + 594x + 60x2 = -9 Solving 477 + 594x + 60x2 = -9 Solving for variable 'x'. Reorder the terms: 477 + 9 + 594x + 60x2 = -9 + 9 Combine like terms: 477 + 9 = 486 486 + 594x + 60x2 = -9 + 9 Combine like terms: -9 + 9 = 0 486 + 594x + 60x2 = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(81 + 99x + 10x2) = 0 Factor a trinomial. 6((9 + x)(9 + 10x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 2
Set the factor '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Solution
x = {-9, -0.9}
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