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Simplifying 0 = 5x2 + 50x + 45 Reorder the terms: 0 = 45 + 50x + 5x2 Solving 0 = 45 + 50x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -45 = -45 -45 + -50x + -5x2 = 45 + 50x + 5x2 + -45 + -50x + -5x2 Reorder the terms: -45 + -50x + -5x2 = 45 + -45 + 50x + -50x + 5x2 + -5x2 Combine like terms: 45 + -45 = 0 -45 + -50x + -5x2 = 0 + 50x + -50x + 5x2 + -5x2 -45 + -50x + -5x2 = 50x + -50x + 5x2 + -5x2 Combine like terms: 50x + -50x = 0 -45 + -50x + -5x2 = 0 + 5x2 + -5x2 -45 + -50x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -45 + -50x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '-5'. -5(9 + 10x + x2) = 0 Factor a trinomial. -5((9 + x)(1 + x)) = 0 Ignore the factor -5.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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {-9, -1}
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