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Simplifying (2w + -5)(2w + 6v + 1) = 0 Reorder the terms: (-5 + 2w)(2w + 6v + 1) = 0 Reorder the terms: (-5 + 2w)(1 + 6v + 2w) = 0 Multiply (-5 + 2w) * (1 + 6v + 2w) (-5(1 + 6v + 2w) + 2w * (1 + 6v + 2w)) = 0 ((1 * -5 + 6v * -5 + 2w * -5) + 2w * (1 + 6v + 2w)) = 0 ((-5 + -30v + -10w) + 2w * (1 + 6v + 2w)) = 0 (-5 + -30v + -10w + (1 * 2w + 6v * 2w + 2w * 2w)) = 0 Reorder the terms: (-5 + -30v + -10w + (12vw + 2w + 4w2)) = 0 (-5 + -30v + -10w + (12vw + 2w + 4w2)) = 0 Reorder the terms: (-5 + -30v + 12vw + -10w + 2w + 4w2) = 0 Combine like terms: -10w + 2w = -8w (-5 + -30v + 12vw + -8w + 4w2) = 0 Solving -5 + -30v + 12vw + -8w + 4w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -30v + 12vw + -8w + 5 + 4w2 = 0 + 5 Reorder the terms: -5 + 5 + -30v + 12vw + -8w + 4w2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -30v + 12vw + -8w + 4w2 = 0 + 5 -30v + 12vw + -8w + 4w2 = 0 + 5 Combine like terms: 0 + 5 = 5 -30v + 12vw + -8w + 4w2 = 5 Add '8w' to each side of the equation. -30v + 12vw + -8w + 8w + 4w2 = 5 + 8w Combine like terms: -8w + 8w = 0 -30v + 12vw + 0 + 4w2 = 5 + 8w -30v + 12vw + 4w2 = 5 + 8w Add '-4w2' to each side of the equation. -30v + 12vw + 4w2 + -4w2 = 5 + 8w + -4w2 Combine like terms: 4w2 + -4w2 = 0 -30v + 12vw + 0 = 5 + 8w + -4w2 -30v + 12vw = 5 + 8w + -4w2 Reorder the terms: -5 + -30v + 12vw + -8w + 4w2 = 5 + 8w + -4w2 + -5 + -8w + 4w2 Reorder the terms: -5 + -30v + 12vw + -8w + 4w2 = 5 + -5 + 8w + -8w + -4w2 + 4w2 Combine like terms: 5 + -5 = 0 -5 + -30v + 12vw + -8w + 4w2 = 0 + 8w + -8w + -4w2 + 4w2 -5 + -30v + 12vw + -8w + 4w2 = 8w + -8w + -4w2 + 4w2 Combine like terms: 8w + -8w = 0 -5 + -30v + 12vw + -8w + 4w2 = 0 + -4w2 + 4w2 -5 + -30v + 12vw + -8w + 4w2 = -4w2 + 4w2 Combine like terms: -4w2 + 4w2 = 0 -5 + -30v + 12vw + -8w + 4w2 = 0 The solution to this equation could not be determined.
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