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Simplifying (w + 7v + -5)(w + -6) = 0 Reorder the terms: (-5 + 7v + w)(w + -6) = 0 Reorder the terms: (-5 + 7v + w)(-6 + w) = 0 Multiply (-5 + 7v + w) * (-6 + w) (-5(-6 + w) + 7v * (-6 + w) + w(-6 + w)) = 0 ((-6 * -5 + w * -5) + 7v * (-6 + w) + w(-6 + w)) = 0 ((30 + -5w) + 7v * (-6 + w) + w(-6 + w)) = 0 (30 + -5w + (-6 * 7v + w * 7v) + w(-6 + w)) = 0 (30 + -5w + (-42v + 7vw) + w(-6 + w)) = 0 (30 + -5w + -42v + 7vw + (-6 * w + w * w)) = 0 (30 + -5w + -42v + 7vw + (-6w + w2)) = 0 Reorder the terms: (30 + -42v + 7vw + -5w + -6w + w2) = 0 Combine like terms: -5w + -6w = -11w (30 + -42v + 7vw + -11w + w2) = 0 Solving 30 + -42v + 7vw + -11w + w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -42v + 7vw + -11w + -30 + w2 = 0 + -30 Reorder the terms: 30 + -30 + -42v + 7vw + -11w + w2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -42v + 7vw + -11w + w2 = 0 + -30 -42v + 7vw + -11w + w2 = 0 + -30 Combine like terms: 0 + -30 = -30 -42v + 7vw + -11w + w2 = -30 Add '11w' to each side of the equation. -42v + 7vw + -11w + 11w + w2 = -30 + 11w Combine like terms: -11w + 11w = 0 -42v + 7vw + 0 + w2 = -30 + 11w -42v + 7vw + w2 = -30 + 11w Add '-1w2' to each side of the equation. -42v + 7vw + w2 + -1w2 = -30 + 11w + -1w2 Combine like terms: w2 + -1w2 = 0 -42v + 7vw + 0 = -30 + 11w + -1w2 -42v + 7vw = -30 + 11w + -1w2 Reorder the terms: 30 + -42v + 7vw + -11w + w2 = -30 + 11w + -1w2 + 30 + -11w + w2 Reorder the terms: 30 + -42v + 7vw + -11w + w2 = -30 + 30 + 11w + -11w + -1w2 + w2 Combine like terms: -30 + 30 = 0 30 + -42v + 7vw + -11w + w2 = 0 + 11w + -11w + -1w2 + w2 30 + -42v + 7vw + -11w + w2 = 11w + -11w + -1w2 + w2 Combine like terms: 11w + -11w = 0 30 + -42v + 7vw + -11w + w2 = 0 + -1w2 + w2 30 + -42v + 7vw + -11w + w2 = -1w2 + w2 Combine like terms: -1w2 + w2 = 0 30 + -42v + 7vw + -11w + w2 = 0 The solution to this equation could not be determined.
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