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Simplifying (x + 5)(x + 15) = 0 Reorder the terms: (5 + x)(x + 15) = 0 Reorder the terms: (5 + x)(15 + x) = 0 Multiply (5 + x) * (15 + x) (5(15 + x) + x(15 + x)) = 0 ((15 * 5 + x * 5) + x(15 + x)) = 0 ((75 + 5x) + x(15 + x)) = 0 (75 + 5x + (15 * x + x * x)) = 0 (75 + 5x + (15x + x2)) = 0 Combine like terms: 5x + 15x = 20x (75 + 20x + x2) = 0 Solving 75 + 20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {-15, -5}
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