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Simplifying w(2w + -15) + -225 = 0 Reorder the terms: w(-15 + 2w) + -225 = 0 (-15 * w + 2w * w) + -225 = 0 (-15w + 2w2) + -225 = 0 Reorder the terms: -225 + -15w + 2w2 = 0 Solving -225 + -15w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-15 + -2w)(15 + -1w) = 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 + -1w)' equal to zero and attempt to solve: Simplifying 15 + -1w = 0 Solving 15 + -1w = 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 + -1w = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1w = 0 + -15 -1w = 0 + -15 Combine like terms: 0 + -15 = -15 -1w = -15 Divide each side by '-1'. w = 15 Simplifying w = 15Solution
w = {-7.5, 15}
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