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Simplifying -1w2 = -2w + -48 Reorder the terms: -1w2 = -48 + -2w Solving -1w2 = -48 + -2w Solving for variable 'w'. Reorder the terms: 48 + 2w + -1w2 = -48 + -2w + 48 + 2w Reorder the terms: 48 + 2w + -1w2 = -48 + 48 + -2w + 2w Combine like terms: -48 + 48 = 0 48 + 2w + -1w2 = 0 + -2w + 2w 48 + 2w + -1w2 = -2w + 2w Combine like terms: -2w + 2w = 0 48 + 2w + -1w2 = 0 Factor a trinomial. (8 + -1w)(6 + w) = 0Subproblem 1
Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8Subproblem 2
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 = -6Solution
w = {8, -6}
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