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Simplifying 5w2 + -2w = 24 Reorder the terms: -2w + 5w2 = 24 Solving -2w + 5w2 = 24 Solving for variable 'w'. Reorder the terms: -24 + -2w + 5w2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -2w + 5w2 = 0 Factor a trinomial. (-2 + -1w)(12 + -5w) = 0Subproblem 1
Set the factor '(-2 + -1w)' equal to zero and attempt to solve: Simplifying -2 + -1w = 0 Solving -2 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1w = 0 + 2 -1w = 0 + 2 Combine like terms: 0 + 2 = 2 -1w = 2 Divide each side by '-1'. w = -2 Simplifying w = -2Subproblem 2
Set the factor '(12 + -5w)' equal to zero and attempt to solve: Simplifying 12 + -5w = 0 Solving 12 + -5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -5w = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -5w = 0 + -12 -5w = 0 + -12 Combine like terms: 0 + -12 = -12 -5w = -12 Divide each side by '-5'. w = 2.4 Simplifying w = 2.4Solution
w = {-2, 2.4}
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