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Simplifying 6W = 9W2 + -1W Reorder the terms: 6W = -1W + 9W2 Solving 6W = -1W + 9W2 Solving for variable 'W'. Combine like terms: 6W + W = 7W 7W + -9W2 = -1W + 9W2 + W + -9W2 Reorder the terms: 7W + -9W2 = -1W + W + 9W2 + -9W2 Combine like terms: -1W + W = 0 7W + -9W2 = 0 + 9W2 + -9W2 7W + -9W2 = 9W2 + -9W2 Combine like terms: 9W2 + -9W2 = 0 7W + -9W2 = 0 Factor out the Greatest Common Factor (GCF), 'W'. W(7 + -9W) = 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 '(7 + -9W)' equal to zero and attempt to solve: Simplifying 7 + -9W = 0 Solving 7 + -9W = 0 Move all terms containing W to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -9W = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9W = 0 + -7 -9W = 0 + -7 Combine like terms: 0 + -7 = -7 -9W = -7 Divide each side by '-9'. W = 0.7777777778 Simplifying W = 0.7777777778Solution
W = {0, 0.7777777778}
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