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Simplifying 36w2 + 60w + 25 = 900w2 Reorder the terms: 25 + 60w + 36w2 = 900w2 Solving 25 + 60w + 36w2 = 900w2 Solving for variable 'w'. Combine like terms: 36w2 + -900w2 = -864w2 25 + 60w + -864w2 = 900w2 + -900w2 Combine like terms: 900w2 + -900w2 = 0 25 + 60w + -864w2 = 0 Factor a trinomial. (5 + -24w)(5 + 36w) = 0Subproblem 1
Set the factor '(5 + -24w)' equal to zero and attempt to solve: Simplifying 5 + -24w = 0 Solving 5 + -24w = 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 + -24w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -24w = 0 + -5 -24w = 0 + -5 Combine like terms: 0 + -5 = -5 -24w = -5 Divide each side by '-24'. w = 0.2083333333 Simplifying w = 0.2083333333Subproblem 2
Set the factor '(5 + 36w)' equal to zero and attempt to solve: Simplifying 5 + 36w = 0 Solving 5 + 36w = 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 + 36w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 36w = 0 + -5 36w = 0 + -5 Combine like terms: 0 + -5 = -5 36w = -5 Divide each side by '36'. w = -0.1388888889 Simplifying w = -0.1388888889Solution
w = {0.2083333333, -0.1388888889}
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