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Simplifying (w + 14)(w + -16) = 0 Reorder the terms: (14 + w)(w + -16) = 0 Reorder the terms: (14 + w)(-16 + w) = 0 Multiply (14 + w) * (-16 + w) (14(-16 + w) + w(-16 + w)) = 0 ((-16 * 14 + w * 14) + w(-16 + w)) = 0 ((-224 + 14w) + w(-16 + w)) = 0 (-224 + 14w + (-16 * w + w * w)) = 0 (-224 + 14w + (-16w + w2)) = 0 Combine like terms: 14w + -16w = -2w (-224 + -2w + w2) = 0 Solving -224 + -2w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-14 + -1w)(16 + -1w) = 0Subproblem 1
Set the factor '(-14 + -1w)' equal to zero and attempt to solve: Simplifying -14 + -1w = 0 Solving -14 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1w = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1w = 0 + 14 -1w = 0 + 14 Combine like terms: 0 + 14 = 14 -1w = 14 Divide each side by '-1'. w = -14 Simplifying w = -14Subproblem 2
Set the factor '(16 + -1w)' equal to zero and attempt to solve: Simplifying 16 + -1w = 0 Solving 16 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1w = 0 + -16 -1w = 0 + -16 Combine like terms: 0 + -16 = -16 -1w = -16 Divide each side by '-1'. w = 16 Simplifying w = 16Solution
w = {-14, 16}
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