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Simplifying (3w + -2v + -7)(4w + -7) = 0 Reorder the terms: (-7 + -2v + 3w)(4w + -7) = 0 Reorder the terms: (-7 + -2v + 3w)(-7 + 4w) = 0 Multiply (-7 + -2v + 3w) * (-7 + 4w) (-7(-7 + 4w) + -2v * (-7 + 4w) + 3w * (-7 + 4w)) = 0 ((-7 * -7 + 4w * -7) + -2v * (-7 + 4w) + 3w * (-7 + 4w)) = 0 ((49 + -28w) + -2v * (-7 + 4w) + 3w * (-7 + 4w)) = 0 (49 + -28w + (-7 * -2v + 4w * -2v) + 3w * (-7 + 4w)) = 0 (49 + -28w + (14v + -8vw) + 3w * (-7 + 4w)) = 0 (49 + -28w + 14v + -8vw + (-7 * 3w + 4w * 3w)) = 0 (49 + -28w + 14v + -8vw + (-21w + 12w2)) = 0 Reorder the terms: (49 + 14v + -8vw + -28w + -21w + 12w2) = 0 Combine like terms: -28w + -21w = -49w (49 + 14v + -8vw + -49w + 12w2) = 0 Solving 49 + 14v + -8vw + -49w + 12w2 = 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 + 14v + -8vw + -49w + -49 + 12w2 = 0 + -49 Reorder the terms: 49 + -49 + 14v + -8vw + -49w + 12w2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + 14v + -8vw + -49w + 12w2 = 0 + -49 14v + -8vw + -49w + 12w2 = 0 + -49 Combine like terms: 0 + -49 = -49 14v + -8vw + -49w + 12w2 = -49 Add '49w' to each side of the equation. 14v + -8vw + -49w + 49w + 12w2 = -49 + 49w Combine like terms: -49w + 49w = 0 14v + -8vw + 0 + 12w2 = -49 + 49w 14v + -8vw + 12w2 = -49 + 49w Add '-12w2' to each side of the equation. 14v + -8vw + 12w2 + -12w2 = -49 + 49w + -12w2 Combine like terms: 12w2 + -12w2 = 0 14v + -8vw + 0 = -49 + 49w + -12w2 14v + -8vw = -49 + 49w + -12w2 Reorder the terms: 49 + 14v + -8vw + -49w + 12w2 = -49 + 49w + -12w2 + 49 + -49w + 12w2 Reorder the terms: 49 + 14v + -8vw + -49w + 12w2 = -49 + 49 + 49w + -49w + -12w2 + 12w2 Combine like terms: -49 + 49 = 0 49 + 14v + -8vw + -49w + 12w2 = 0 + 49w + -49w + -12w2 + 12w2 49 + 14v + -8vw + -49w + 12w2 = 49w + -49w + -12w2 + 12w2 Combine like terms: 49w + -49w = 0 49 + 14v + -8vw + -49w + 12w2 = 0 + -12w2 + 12w2 49 + 14v + -8vw + -49w + 12w2 = -12w2 + 12w2 Combine like terms: -12w2 + 12w2 = 0 49 + 14v + -8vw + -49w + 12w2 = 0 The solution to this equation could not be determined.
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