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Simplifying (x + 5)(x + 16) = 0 Reorder the terms: (5 + x)(x + 16) = 0 Reorder the terms: (5 + x)(16 + x) = 0 Multiply (5 + x) * (16 + x) (5(16 + x) + x(16 + x)) = 0 ((16 * 5 + x * 5) + x(16 + x)) = 0 ((80 + 5x) + x(16 + x)) = 0 (80 + 5x + (16 * x + x * x)) = 0 (80 + 5x + (16x + x2)) = 0 Combine like terms: 5x + 16x = 21x (80 + 21x + x2) = 0 Solving 80 + 21x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + x)(5 + x) = 0Subproblem 1
Set the factor '(16 + x)' equal to zero and attempt to solve: Simplifying 16 + x = 0 Solving 16 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + x = 0 + -16 x = 0 + -16 Combine like terms: 0 + -16 = -16 x = -16 Simplifying x = -16Subproblem 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 = {-16, -5}
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