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Simplifying x(x + 9)(5x + 3) = 0 Reorder the terms: x(9 + x)(5x + 3) = 0 Reorder the terms: x(9 + x)(3 + 5x) = 0 Multiply (9 + x) * (3 + 5x) x(9(3 + 5x) + x(3 + 5x)) = 0 x((3 * 9 + 5x * 9) + x(3 + 5x)) = 0 x((27 + 45x) + x(3 + 5x)) = 0 x(27 + 45x + (3 * x + 5x * x)) = 0 x(27 + 45x + (3x + 5x2)) = 0 Combine like terms: 45x + 3x = 48x x(27 + 48x + 5x2) = 0 (27 * x + 48x * x + 5x2 * x) = 0 (27x + 48x2 + 5x3) = 0 Solving 27x + 48x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(27 + 48x + 5x2) = 0 Factor a trinomial. x((9 + x)(3 + 5x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
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 = -0.6Solution
x = {0, -9, -0.6}
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