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Simplifying -1w2 = 100 + -20w Solving -1w2 = 100 + -20w Solving for variable 'w'. Reorder the terms: -100 + 20w + -1w2 = 100 + -20w + -100 + 20w Reorder the terms: -100 + 20w + -1w2 = 100 + -100 + -20w + 20w Combine like terms: 100 + -100 = 0 -100 + 20w + -1w2 = 0 + -20w + 20w -100 + 20w + -1w2 = -20w + 20w Combine like terms: -20w + 20w = 0 -100 + 20w + -1w2 = 0 Factor a trinomial. (-10 + w)(10 + -1w) = 0Subproblem 1
Set the factor '(-10 + w)' equal to zero and attempt to solve: Simplifying -10 + w = 0 Solving -10 + w = 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 + w = 0 + 10 Combine like terms: -10 + 10 = 0 0 + w = 0 + 10 w = 0 + 10 Combine like terms: 0 + 10 = 10 w = 10 Simplifying w = 10Subproblem 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 = {10, 10}
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