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Simplifying (w + 2)(4w + -2v + 5) = 0 Reorder the terms: (2 + w)(4w + -2v + 5) = 0 Reorder the terms: (2 + w)(5 + -2v + 4w) = 0 Multiply (2 + w) * (5 + -2v + 4w) (2(5 + -2v + 4w) + w(5 + -2v + 4w)) = 0 ((5 * 2 + -2v * 2 + 4w * 2) + w(5 + -2v + 4w)) = 0 ((10 + -4v + 8w) + w(5 + -2v + 4w)) = 0 (10 + -4v + 8w + (5 * w + -2v * w + 4w * w)) = 0 Reorder the terms: (10 + -4v + 8w + (-2vw + 5w + 4w2)) = 0 (10 + -4v + 8w + (-2vw + 5w + 4w2)) = 0 Reorder the terms: (10 + -4v + -2vw + 8w + 5w + 4w2) = 0 Combine like terms: 8w + 5w = 13w (10 + -4v + -2vw + 13w + 4w2) = 0 Solving 10 + -4v + -2vw + 13w + 4w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4v + -2vw + 13w + -10 + 4w2 = 0 + -10 Reorder the terms: 10 + -10 + -4v + -2vw + 13w + 4w2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -4v + -2vw + 13w + 4w2 = 0 + -10 -4v + -2vw + 13w + 4w2 = 0 + -10 Combine like terms: 0 + -10 = -10 -4v + -2vw + 13w + 4w2 = -10 Add '-13w' to each side of the equation. -4v + -2vw + 13w + -13w + 4w2 = -10 + -13w Combine like terms: 13w + -13w = 0 -4v + -2vw + 0 + 4w2 = -10 + -13w -4v + -2vw + 4w2 = -10 + -13w Add '-4w2' to each side of the equation. -4v + -2vw + 4w2 + -4w2 = -10 + -13w + -4w2 Combine like terms: 4w2 + -4w2 = 0 -4v + -2vw + 0 = -10 + -13w + -4w2 -4v + -2vw = -10 + -13w + -4w2 Reorder the terms: 10 + -4v + -2vw + 13w + 4w2 = -10 + -13w + -4w2 + 10 + 13w + 4w2 Reorder the terms: 10 + -4v + -2vw + 13w + 4w2 = -10 + 10 + -13w + 13w + -4w2 + 4w2 Combine like terms: -10 + 10 = 0 10 + -4v + -2vw + 13w + 4w2 = 0 + -13w + 13w + -4w2 + 4w2 10 + -4v + -2vw + 13w + 4w2 = -13w + 13w + -4w2 + 4w2 Combine like terms: -13w + 13w = 0 10 + -4v + -2vw + 13w + 4w2 = 0 + -4w2 + 4w2 10 + -4v + -2vw + 13w + 4w2 = -4w2 + 4w2 Combine like terms: -4w2 + 4w2 = 0 10 + -4v + -2vw + 13w + 4w2 = 0 The solution to this equation could not be determined.
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