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Simplifying w2 + -6w = 20 + 2w Reorder the terms: -6w + w2 = 20 + 2w Solving -6w + w2 = 20 + 2w Solving for variable 'w'. Reorder the terms: -20 + -6w + -2w + w2 = 20 + 2w + -20 + -2w Combine like terms: -6w + -2w = -8w -20 + -8w + w2 = 20 + 2w + -20 + -2w Reorder the terms: -20 + -8w + w2 = 20 + -20 + 2w + -2w Combine like terms: 20 + -20 = 0 -20 + -8w + w2 = 0 + 2w + -2w -20 + -8w + w2 = 2w + -2w Combine like terms: 2w + -2w = 0 -20 + -8w + w2 = 0 Factor a trinomial. (-2 + -1w)(10 + -1w) = 0Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2Subproblem 2
Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10Solution
w = {-2, 10}
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