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Simplifying 0 = 9x2 + 47x + 10 Reorder the terms: 0 = 10 + 47x + 9x2 Solving 0 = 10 + 47x + 9x2 Solving for variable 'x'. Combine like terms: 0 + -10 = -10 -10 + -47x + -9x2 = 10 + 47x + 9x2 + -10 + -47x + -9x2 Reorder the terms: -10 + -47x + -9x2 = 10 + -10 + 47x + -47x + 9x2 + -9x2 Combine like terms: 10 + -10 = 0 -10 + -47x + -9x2 = 0 + 47x + -47x + 9x2 + -9x2 -10 + -47x + -9x2 = 47x + -47x + 9x2 + -9x2 Combine like terms: 47x + -47x = 0 -10 + -47x + -9x2 = 0 + 9x2 + -9x2 -10 + -47x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -10 + -47x + -9x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(10 + 47x + 9x2) = 0 Factor a trinomial. -1((5 + x)(2 + 9x)) = 0 Ignore the factor -1.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 + 9x)' equal to zero and attempt to solve: Simplifying 2 + 9x = 0 Solving 2 + 9x = 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 + 9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9x = 0 + -2 9x = 0 + -2 Combine like terms: 0 + -2 = -2 9x = -2 Divide each side by '9'. x = -0.2222222222 Simplifying x = -0.2222222222Solution
x = {-5, -0.2222222222}
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