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Simplifying (9x2) + (63x) + (90) = 0 (9x2) + (63x) + 90 = 0 Reorder the terms: 90 + (63x) + (9x2) = 0 Solving 90 + (63x) + (9x2) = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(10 + (7x) + x2) = 0 Factor a trinomial. 9((5 + x)(2 + x)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -2}
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