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Simplifying 15x2 + 51x + 9 = -9 Reorder the terms: 9 + 51x + 15x2 = -9 Solving 9 + 51x + 15x2 = -9 Solving for variable 'x'. Reorder the terms: 9 + 9 + 51x + 15x2 = -9 + 9 Combine like terms: 9 + 9 = 18 18 + 51x + 15x2 = -9 + 9 Combine like terms: -9 + 9 = 0 18 + 51x + 15x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(6 + 17x + 5x2) = 0 Factor a trinomial. 3((3 + x)(2 + 5x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-3, -0.4}
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