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Simplifying -1w2 + 22w + -40 = 0 Reorder the terms: -40 + 22w + -1w2 = 0 Solving -40 + 22w + -1w2 = 0 Solving for variable 'w'. Factor a trinomial. (-20 + w)(2 + -1w) = 0Subproblem 1
Set the factor '(-20 + w)' equal to zero and attempt to solve: Simplifying -20 + w = 0 Solving -20 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + w = 0 + 20 w = 0 + 20 Combine like terms: 0 + 20 = 20 w = 20 Simplifying w = 20Subproblem 2
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 = 2Solution
w = {20, 2}
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