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Simplifying (x + 15)(x + 30) = 0 Reorder the terms: (15 + x)(x + 30) = 0 Reorder the terms: (15 + x)(30 + x) = 0 Multiply (15 + x) * (30 + x) (15(30 + x) + x(30 + x)) = 0 ((30 * 15 + x * 15) + x(30 + x)) = 0 ((450 + 15x) + x(30 + x)) = 0 (450 + 15x + (30 * x + x * x)) = 0 (450 + 15x + (30x + x2)) = 0 Combine like terms: 15x + 30x = 45x (450 + 45x + x2) = 0 Solving 450 + 45x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + x)(15 + x) = 0Subproblem 1
Set the factor '(30 + x)' equal to zero and attempt to solve: Simplifying 30 + x = 0 Solving 30 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + x = 0 + -30 x = 0 + -30 Combine like terms: 0 + -30 = -30 x = -30 Simplifying x = -30Subproblem 2
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 = -15Solution
x = {-30, -15}
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