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Simplifying (x + 16)(2x + 1) = 0 Reorder the terms: (16 + x)(2x + 1) = 0 Reorder the terms: (16 + x)(1 + 2x) = 0 Multiply (16 + x) * (1 + 2x) (16(1 + 2x) + x(1 + 2x)) = 0 ((1 * 16 + 2x * 16) + x(1 + 2x)) = 0 ((16 + 32x) + x(1 + 2x)) = 0 (16 + 32x + (1 * x + 2x * x)) = 0 (16 + 32x + (1x + 2x2)) = 0 Combine like terms: 32x + 1x = 33x (16 + 33x + 2x2) = 0 Solving 16 + 33x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (16 + x)(1 + 2x) = 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-16, -0.5}
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