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Simplifying w2 + 10w = 200 Reorder the terms: 10w + w2 = 200 Solving 10w + w2 = 200 Solving for variable 'w'. Reorder the terms: -200 + 10w + w2 = 200 + -200 Combine like terms: 200 + -200 = 0 -200 + 10w + w2 = 0 Factor a trinomial. (-20 + -1w)(10 + -1w) = 0Subproblem 1
Set the factor '(-20 + -1w)' equal to zero and attempt to solve: Simplifying -20 + -1w = 0 Solving -20 + -1w = 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 + -1w = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1w = 0 + 20 -1w = 0 + 20 Combine like terms: 0 + 20 = 20 -1w = 20 Divide each side by '-1'. w = -20 Simplifying w = -20Subproblem 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 = {-20, 10}
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