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Simplifying W(w + 5) + w(w + 7) = 0 Reorder the terms: W(5 + w) + w(w + 7) = 0 (5 * W + w * W) + w(w + 7) = 0 (5W + wW) + w(w + 7) = 0 Reorder the terms: 5W + wW + w(7 + w) = 0 5W + wW + (7 * w + w * w) = 0 5W + wW + (7w + w2) = 0 Reorder the terms: 5W + 7w + wW + w2 = 0 Solving 5W + 7w + wW + w2 = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '-7w' to each side of the equation. 5W + 7w + wW + -7w + w2 = 0 + -7w Reorder the terms: 5W + 7w + -7w + wW + w2 = 0 + -7w Combine like terms: 7w + -7w = 0 5W + 0 + wW + w2 = 0 + -7w 5W + wW + w2 = 0 + -7w Remove the zero: 5W + wW + w2 = -7w Add '-1w2' to each side of the equation. 5W + wW + w2 + -1w2 = -7w + -1w2 Combine like terms: w2 + -1w2 = 0 5W + wW + 0 = -7w + -1w2 5W + wW = -7w + -1w2 Reorder the terms: 5W + 7w + wW + w2 = -7w + -1w2 + 7w + w2 Reorder the terms: 5W + 7w + wW + w2 = -7w + 7w + -1w2 + w2 Combine like terms: -7w + 7w = 0 5W + 7w + wW + w2 = 0 + -1w2 + w2 5W + 7w + wW + w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 5W + 7w + wW + w2 = 0 The solution to this equation could not be determined.
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