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Simplifying 4w2 = 20w + -25 Reorder the terms: 4w2 = -25 + 20w Solving 4w2 = -25 + 20w Solving for variable 'w'. Reorder the terms: 25 + -20w + 4w2 = -25 + 20w + 25 + -20w Reorder the terms: 25 + -20w + 4w2 = -25 + 25 + 20w + -20w Combine like terms: -25 + 25 = 0 25 + -20w + 4w2 = 0 + 20w + -20w 25 + -20w + 4w2 = 20w + -20w Combine like terms: 20w + -20w = 0 25 + -20w + 4w2 = 0 Factor a trinomial. (5 + -2w)(5 + -2w) = 0Subproblem 1
Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5Subproblem 2
Set the factor '(5 + -2w)' equal to zero and attempt to solve: Simplifying 5 + -2w = 0 Solving 5 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2w = 0 + -5 -2w = 0 + -5 Combine like terms: 0 + -5 = -5 -2w = -5 Divide each side by '-2'. w = 2.5 Simplifying w = 2.5Solution
w = {2.5, 2.5}
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