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Simplifying (5w + -2)(w + 4v + 3) = 0 Reorder the terms: (-2 + 5w)(w + 4v + 3) = 0 Reorder the terms: (-2 + 5w)(3 + 4v + w) = 0 Multiply (-2 + 5w) * (3 + 4v + w) (-2(3 + 4v + w) + 5w * (3 + 4v + w)) = 0 ((3 * -2 + 4v * -2 + w * -2) + 5w * (3 + 4v + w)) = 0 ((-6 + -8v + -2w) + 5w * (3 + 4v + w)) = 0 (-6 + -8v + -2w + (3 * 5w + 4v * 5w + w * 5w)) = 0 Reorder the terms: (-6 + -8v + -2w + (20vw + 15w + 5w2)) = 0 (-6 + -8v + -2w + (20vw + 15w + 5w2)) = 0 Reorder the terms: (-6 + -8v + 20vw + -2w + 15w + 5w2) = 0 Combine like terms: -2w + 15w = 13w (-6 + -8v + 20vw + 13w + 5w2) = 0 Solving -6 + -8v + 20vw + 13w + 5w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -8v + 20vw + 13w + 6 + 5w2 = 0 + 6 Reorder the terms: -6 + 6 + -8v + 20vw + 13w + 5w2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -8v + 20vw + 13w + 5w2 = 0 + 6 -8v + 20vw + 13w + 5w2 = 0 + 6 Combine like terms: 0 + 6 = 6 -8v + 20vw + 13w + 5w2 = 6 Add '-13w' to each side of the equation. -8v + 20vw + 13w + -13w + 5w2 = 6 + -13w Combine like terms: 13w + -13w = 0 -8v + 20vw + 0 + 5w2 = 6 + -13w -8v + 20vw + 5w2 = 6 + -13w Add '-5w2' to each side of the equation. -8v + 20vw + 5w2 + -5w2 = 6 + -13w + -5w2 Combine like terms: 5w2 + -5w2 = 0 -8v + 20vw + 0 = 6 + -13w + -5w2 -8v + 20vw = 6 + -13w + -5w2 Reorder the terms: -6 + -8v + 20vw + 13w + 5w2 = 6 + -13w + -5w2 + -6 + 13w + 5w2 Reorder the terms: -6 + -8v + 20vw + 13w + 5w2 = 6 + -6 + -13w + 13w + -5w2 + 5w2 Combine like terms: 6 + -6 = 0 -6 + -8v + 20vw + 13w + 5w2 = 0 + -13w + 13w + -5w2 + 5w2 -6 + -8v + 20vw + 13w + 5w2 = -13w + 13w + -5w2 + 5w2 Combine like terms: -13w + 13w = 0 -6 + -8v + 20vw + 13w + 5w2 = 0 + -5w2 + 5w2 -6 + -8v + 20vw + 13w + 5w2 = -5w2 + 5w2 Combine like terms: -5w2 + 5w2 = 0 -6 + -8v + 20vw + 13w + 5w2 = 0 The solution to this equation could not be determined.
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