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Simplifying (2w + -3)(w) + -90 = 0 Reorder the terms: (-3 + 2w)(w) + -90 = 0 Reorder the terms for easier multiplication: w(-3 + 2w) + -90 = 0 (-3 * w + 2w * w) + -90 = 0 (-3w + 2w2) + -90 = 0 Reorder the terms: -90 + -3w + 2w2 = 0 Solving -90 + -3w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-6 + -1w)(15 + -2w) = 0Subproblem 1
Set the factor '(-6 + -1w)' equal to zero and attempt to solve: Simplifying -6 + -1w = 0 Solving -6 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1w = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1w = 0 + 6 -1w = 0 + 6 Combine like terms: 0 + 6 = 6 -1w = 6 Divide each side by '-1'. w = -6 Simplifying w = -6Subproblem 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 = {-6, 7.5}
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