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Simplifying 4w2 + -60w + 225 = 0 Reorder the terms: 225 + -60w + 4w2 = 0 Solving 225 + -60w + 4w2 = 0 Solving for variable 'w'. Factor a trinomial. (15 + -2w)(15 + -2w) = 0Subproblem 1
Set the factor '(15 + -2w)' equal to zero and attempt to solve: Simplifying 15 + -2w = 0 Solving 15 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 0 + -15 -2w = 0 + -15 Combine like terms: 0 + -15 = -15 -2w = -15 Divide each side by '-2'. w = 7.5 Simplifying w = 7.5Subproblem 2
Set the factor '(15 + -2w)' equal to zero and attempt to solve: Simplifying 15 + -2w = 0 Solving 15 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2w = 0 + -15 -2w = 0 + -15 Combine like terms: 0 + -15 = -15 -2w = -15 Divide each side by '-2'. w = 7.5 Simplifying w = 7.5Solution
w = {7.5, 7.5}
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