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Simplifying (x + 9)(x + 15) = 0 Reorder the terms: (9 + x)(x + 15) = 0 Reorder the terms: (9 + x)(15 + x) = 0 Multiply (9 + x) * (15 + x) (9(15 + x) + x(15 + x)) = 0 ((15 * 9 + x * 9) + x(15 + x)) = 0 ((135 + 9x) + x(15 + x)) = 0 (135 + 9x + (15 * x + x * x)) = 0 (135 + 9x + (15x + x2)) = 0 Combine like terms: 9x + 15x = 24x (135 + 24x + x2) = 0 Solving 135 + 24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(9 + x) = 0Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve: Simplifying 15 + x = 0 Solving 15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + x = 0 + -15 x = 0 + -15 Combine like terms: 0 + -15 = -15 x = -15 Simplifying x = -15Subproblem 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 = -9Solution
x = {-15, -9}
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