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Simplifying 0 = 15x2 + 66x + -45 Reorder the terms: 0 = -45 + 66x + 15x2 Solving 0 = -45 + 66x + 15x2 Solving for variable 'x'. Combine like terms: 0 + 45 = 45 45 + -66x + -15x2 = -45 + 66x + 15x2 + 45 + -66x + -15x2 Reorder the terms: 45 + -66x + -15x2 = -45 + 45 + 66x + -66x + 15x2 + -15x2 Combine like terms: -45 + 45 = 0 45 + -66x + -15x2 = 0 + 66x + -66x + 15x2 + -15x2 45 + -66x + -15x2 = 66x + -66x + 15x2 + -15x2 Combine like terms: 66x + -66x = 0 45 + -66x + -15x2 = 0 + 15x2 + -15x2 45 + -66x + -15x2 = 15x2 + -15x2 Combine like terms: 15x2 + -15x2 = 0 45 + -66x + -15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(15 + -22x + -5x2) = 0 Factor a trinomial. 3((3 + -5x)(5 + x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
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 = -5Solution
x = {0.6, -5}
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