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Simplifying (3w + -7)(7w + 4v + -7) = 0 Reorder the terms: (-7 + 3w)(7w + 4v + -7) = 0 Reorder the terms: (-7 + 3w)(-7 + 4v + 7w) = 0 Multiply (-7 + 3w) * (-7 + 4v + 7w) (-7(-7 + 4v + 7w) + 3w * (-7 + 4v + 7w)) = 0 ((-7 * -7 + 4v * -7 + 7w * -7) + 3w * (-7 + 4v + 7w)) = 0 ((49 + -28v + -49w) + 3w * (-7 + 4v + 7w)) = 0 (49 + -28v + -49w + (-7 * 3w + 4v * 3w + 7w * 3w)) = 0 Reorder the terms: (49 + -28v + -49w + (12vw + -21w + 21w2)) = 0 (49 + -28v + -49w + (12vw + -21w + 21w2)) = 0 Reorder the terms: (49 + -28v + 12vw + -49w + -21w + 21w2) = 0 Combine like terms: -49w + -21w = -70w (49 + -28v + 12vw + -70w + 21w2) = 0 Solving 49 + -28v + 12vw + -70w + 21w2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -28v + 12vw + -70w + -49 + 21w2 = 0 + -49 Reorder the terms: 49 + -49 + -28v + 12vw + -70w + 21w2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -28v + 12vw + -70w + 21w2 = 0 + -49 -28v + 12vw + -70w + 21w2 = 0 + -49 Combine like terms: 0 + -49 = -49 -28v + 12vw + -70w + 21w2 = -49 Add '70w' to each side of the equation. -28v + 12vw + -70w + 70w + 21w2 = -49 + 70w Combine like terms: -70w + 70w = 0 -28v + 12vw + 0 + 21w2 = -49 + 70w -28v + 12vw + 21w2 = -49 + 70w Add '-21w2' to each side of the equation. -28v + 12vw + 21w2 + -21w2 = -49 + 70w + -21w2 Combine like terms: 21w2 + -21w2 = 0 -28v + 12vw + 0 = -49 + 70w + -21w2 -28v + 12vw = -49 + 70w + -21w2 Reorder the terms: 49 + -28v + 12vw + -70w + 21w2 = -49 + 70w + -21w2 + 49 + -70w + 21w2 Reorder the terms: 49 + -28v + 12vw + -70w + 21w2 = -49 + 49 + 70w + -70w + -21w2 + 21w2 Combine like terms: -49 + 49 = 0 49 + -28v + 12vw + -70w + 21w2 = 0 + 70w + -70w + -21w2 + 21w2 49 + -28v + 12vw + -70w + 21w2 = 70w + -70w + -21w2 + 21w2 Combine like terms: 70w + -70w = 0 49 + -28v + 12vw + -70w + 21w2 = 0 + -21w2 + 21w2 49 + -28v + 12vw + -70w + 21w2 = -21w2 + 21w2 Combine like terms: -21w2 + 21w2 = 0 49 + -28v + 12vw + -70w + 21w2 = 0 The solution to this equation could not be determined.
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