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Simplifying (5x + 30)(3x + 27) = 0 Reorder the terms: (30 + 5x)(3x + 27) = 0 Reorder the terms: (30 + 5x)(27 + 3x) = 0 Multiply (30 + 5x) * (27 + 3x) (30(27 + 3x) + 5x * (27 + 3x)) = 0 ((27 * 30 + 3x * 30) + 5x * (27 + 3x)) = 0 ((810 + 90x) + 5x * (27 + 3x)) = 0 (810 + 90x + (27 * 5x + 3x * 5x)) = 0 (810 + 90x + (135x + 15x2)) = 0 Combine like terms: 90x + 135x = 225x (810 + 225x + 15x2) = 0 Solving 810 + 225x + 15x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '15'. 15(54 + 15x + x2) = 0 Factor a trinomial. 15((9 + x)(6 + x)) = 0 Ignore the factor 15.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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-9, -6}
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