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Simplifying w2 + 36 = 3w + 36 + -1w2 Reorder the terms: 36 + w2 = 3w + 36 + -1w2 Reorder the terms: 36 + w2 = 36 + 3w + -1w2 Add '-36' to each side of the equation. 36 + -36 + w2 = 36 + 3w + -36 + -1w2 Combine like terms: 36 + -36 = 0 0 + w2 = 36 + 3w + -36 + -1w2 w2 = 36 + 3w + -36 + -1w2 Reorder the terms: w2 = 36 + -36 + 3w + -1w2 Combine like terms: 36 + -36 = 0 w2 = 0 + 3w + -1w2 w2 = 3w + -1w2 Solving w2 = 3w + -1w2 Solving for variable 'w'. Reorder the terms: -3w + w2 + w2 = 3w + -1w2 + -3w + w2 Combine like terms: w2 + w2 = 2w2 -3w + 2w2 = 3w + -1w2 + -3w + w2 Reorder the terms: -3w + 2w2 = 3w + -3w + -1w2 + w2 Combine like terms: 3w + -3w = 0 -3w + 2w2 = 0 + -1w2 + w2 -3w + 2w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 -3w + 2w2 = 0 Factor out the Greatest Common Factor (GCF), 'w'. w(-3 + 2w) = 0Subproblem 1
Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0Subproblem 2
Set the factor '(-3 + 2w)' equal to zero and attempt to solve: Simplifying -3 + 2w = 0 Solving -3 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2w = 0 + 3 2w = 0 + 3 Combine like terms: 0 + 3 = 3 2w = 3 Divide each side by '2'. w = 1.5 Simplifying w = 1.5Solution
w = {0, 1.5}
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