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Simplifying 0 = -4w2 + -20w + -25 Reorder the terms: 0 = -25 + -20w + -4w2 Solving 0 = -25 + -20w + -4w2 Solving for variable 'w'. Combine like terms: 0 + 25 = 25 25 + 20w + 4w2 = -25 + -20w + -4w2 + 25 + 20w + 4w2 Reorder the terms: 25 + 20w + 4w2 = -25 + 25 + -20w + 20w + -4w2 + 4w2 Combine like terms: -25 + 25 = 0 25 + 20w + 4w2 = 0 + -20w + 20w + -4w2 + 4w2 25 + 20w + 4w2 = -20w + 20w + -4w2 + 4w2 Combine like terms: -20w + 20w = 0 25 + 20w + 4w2 = 0 + -4w2 + 4w2 25 + 20w + 4w2 = -4w2 + 4w2 Combine like terms: -4w2 + 4w2 = 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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