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Simplifying (x + 4)(x + 15) = 0 Reorder the terms: (4 + x)(x + 15) = 0 Reorder the terms: (4 + x)(15 + x) = 0 Multiply (4 + x) * (15 + x) (4(15 + x) + x(15 + x)) = 0 ((15 * 4 + x * 4) + x(15 + x)) = 0 ((60 + 4x) + x(15 + x)) = 0 (60 + 4x + (15 * x + x * x)) = 0 (60 + 4x + (15x + x2)) = 0 Combine like terms: 4x + 15x = 19x (60 + 19x + x2) = 0 Solving 60 + 19x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (15 + x)(4 + 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {-15, -4}
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