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Simplifying (2w + -1)(5w + 2v + 3) = 0 Reorder the terms: (-1 + 2w)(5w + 2v + 3) = 0 Reorder the terms: (-1 + 2w)(3 + 2v + 5w) = 0 Multiply (-1 + 2w) * (3 + 2v + 5w) (-1(3 + 2v + 5w) + 2w * (3 + 2v + 5w)) = 0 ((3 * -1 + 2v * -1 + 5w * -1) + 2w * (3 + 2v + 5w)) = 0 ((-3 + -2v + -5w) + 2w * (3 + 2v + 5w)) = 0 (-3 + -2v + -5w + (3 * 2w + 2v * 2w + 5w * 2w)) = 0 Reorder the terms: (-3 + -2v + -5w + (4vw + 6w + 10w2)) = 0 (-3 + -2v + -5w + (4vw + 6w + 10w2)) = 0 Reorder the terms: (-3 + -2v + 4vw + -5w + 6w + 10w2) = 0 Combine like terms: -5w + 6w = 1w (-3 + -2v + 4vw + 1w + 10w2) = 0 Solving -3 + -2v + 4vw + 1w + 10w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2v + 4vw + 1w + 3 + 10w2 = 0 + 3 Reorder the terms: -3 + 3 + -2v + 4vw + 1w + 10w2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2v + 4vw + 1w + 10w2 = 0 + 3 -2v + 4vw + 1w + 10w2 = 0 + 3 Combine like terms: 0 + 3 = 3 -2v + 4vw + 1w + 10w2 = 3 Add '-1w' to each side of the equation. -2v + 4vw + 1w + -1w + 10w2 = 3 + -1w Combine like terms: 1w + -1w = 0 -2v + 4vw + 0 + 10w2 = 3 + -1w -2v + 4vw + 10w2 = 3 + -1w Add '-10w2' to each side of the equation. -2v + 4vw + 10w2 + -10w2 = 3 + -1w + -10w2 Combine like terms: 10w2 + -10w2 = 0 -2v + 4vw + 0 = 3 + -1w + -10w2 -2v + 4vw = 3 + -1w + -10w2 Reorder the terms: -3 + -2v + 4vw + w + 10w2 = 3 + -1w + -10w2 + -3 + w + 10w2 Reorder the terms: -3 + -2v + 4vw + w + 10w2 = 3 + -3 + -1w + w + -10w2 + 10w2 Combine like terms: 3 + -3 = 0 -3 + -2v + 4vw + w + 10w2 = 0 + -1w + w + -10w2 + 10w2 -3 + -2v + 4vw + w + 10w2 = -1w + w + -10w2 + 10w2 Combine like terms: -1w + w = 0 -3 + -2v + 4vw + w + 10w2 = 0 + -10w2 + 10w2 -3 + -2v + 4vw + w + 10w2 = -10w2 + 10w2 Combine like terms: -10w2 + 10w2 = 0 -3 + -2v + 4vw + w + 10w2 = 0 The solution to this equation could not be determined.
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