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Simplifying (5w + -7v + 5)(7w + -2) = 0 Reorder the terms: (5 + -7v + 5w)(7w + -2) = 0 Reorder the terms: (5 + -7v + 5w)(-2 + 7w) = 0 Multiply (5 + -7v + 5w) * (-2 + 7w) (5(-2 + 7w) + -7v * (-2 + 7w) + 5w * (-2 + 7w)) = 0 ((-2 * 5 + 7w * 5) + -7v * (-2 + 7w) + 5w * (-2 + 7w)) = 0 ((-10 + 35w) + -7v * (-2 + 7w) + 5w * (-2 + 7w)) = 0 (-10 + 35w + (-2 * -7v + 7w * -7v) + 5w * (-2 + 7w)) = 0 (-10 + 35w + (14v + -49vw) + 5w * (-2 + 7w)) = 0 (-10 + 35w + 14v + -49vw + (-2 * 5w + 7w * 5w)) = 0 (-10 + 35w + 14v + -49vw + (-10w + 35w2)) = 0 Reorder the terms: (-10 + 14v + -49vw + 35w + -10w + 35w2) = 0 Combine like terms: 35w + -10w = 25w (-10 + 14v + -49vw + 25w + 35w2) = 0 Solving -10 + 14v + -49vw + 25w + 35w2 = 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 + 14v + -49vw + 25w + 10 + 35w2 = 0 + 10 Reorder the terms: -10 + 10 + 14v + -49vw + 25w + 35w2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 14v + -49vw + 25w + 35w2 = 0 + 10 14v + -49vw + 25w + 35w2 = 0 + 10 Combine like terms: 0 + 10 = 10 14v + -49vw + 25w + 35w2 = 10 Add '-25w' to each side of the equation. 14v + -49vw + 25w + -25w + 35w2 = 10 + -25w Combine like terms: 25w + -25w = 0 14v + -49vw + 0 + 35w2 = 10 + -25w 14v + -49vw + 35w2 = 10 + -25w Add '-35w2' to each side of the equation. 14v + -49vw + 35w2 + -35w2 = 10 + -25w + -35w2 Combine like terms: 35w2 + -35w2 = 0 14v + -49vw + 0 = 10 + -25w + -35w2 14v + -49vw = 10 + -25w + -35w2 Reorder the terms: -10 + 14v + -49vw + 25w + 35w2 = 10 + -25w + -35w2 + -10 + 25w + 35w2 Reorder the terms: -10 + 14v + -49vw + 25w + 35w2 = 10 + -10 + -25w + 25w + -35w2 + 35w2 Combine like terms: 10 + -10 = 0 -10 + 14v + -49vw + 25w + 35w2 = 0 + -25w + 25w + -35w2 + 35w2 -10 + 14v + -49vw + 25w + 35w2 = -25w + 25w + -35w2 + 35w2 Combine like terms: -25w + 25w = 0 -10 + 14v + -49vw + 25w + 35w2 = 0 + -35w2 + 35w2 -10 + 14v + -49vw + 25w + 35w2 = -35w2 + 35w2 Combine like terms: -35w2 + 35w2 = 0 -10 + 14v + -49vw + 25w + 35w2 = 0 The solution to this equation could not be determined.
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