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Simplifying (9w + -2) = (w2 + 16) Reorder the terms: (-2 + 9w) = (w2 + 16) Remove parenthesis around (-2 + 9w) -2 + 9w = (w2 + 16) Reorder the terms: -2 + 9w = (16 + w2) Remove parenthesis around (16 + w2) -2 + 9w = 16 + w2 Solving -2 + 9w = 16 + w2 Solving for variable 'w'. Reorder the terms: -2 + -16 + 9w + -1w2 = 16 + w2 + -16 + -1w2 Combine like terms: -2 + -16 = -18 -18 + 9w + -1w2 = 16 + w2 + -16 + -1w2 Reorder the terms: -18 + 9w + -1w2 = 16 + -16 + w2 + -1w2 Combine like terms: 16 + -16 = 0 -18 + 9w + -1w2 = 0 + w2 + -1w2 -18 + 9w + -1w2 = w2 + -1w2 Combine like terms: w2 + -1w2 = 0 -18 + 9w + -1w2 = 0 Factor a trinomial. (-6 + w)(3 + -1w) = 0Subproblem 1
Set the factor '(-6 + w)' equal to zero and attempt to solve: Simplifying -6 + w = 0 Solving -6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + w = 0 + 6 w = 0 + 6 Combine like terms: 0 + 6 = 6 w = 6 Simplifying w = 6Subproblem 2
Set the factor '(3 + -1w)' equal to zero and attempt to solve: Simplifying 3 + -1w = 0 Solving 3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1w = 0 + -3 -1w = 0 + -3 Combine like terms: 0 + -3 = -3 -1w = -3 Divide each side by '-1'. w = 3 Simplifying w = 3Solution
w = {6, 3}
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