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Simplifying (2y + 5v + 3)(7y + -2) = 0 Reorder the terms: (3 + 5v + 2y)(7y + -2) = 0 Reorder the terms: (3 + 5v + 2y)(-2 + 7y) = 0 Multiply (3 + 5v + 2y) * (-2 + 7y) (3(-2 + 7y) + 5v * (-2 + 7y) + 2y * (-2 + 7y)) = 0 ((-2 * 3 + 7y * 3) + 5v * (-2 + 7y) + 2y * (-2 + 7y)) = 0 ((-6 + 21y) + 5v * (-2 + 7y) + 2y * (-2 + 7y)) = 0 (-6 + 21y + (-2 * 5v + 7y * 5v) + 2y * (-2 + 7y)) = 0 (-6 + 21y + (-10v + 35vy) + 2y * (-2 + 7y)) = 0 (-6 + 21y + -10v + 35vy + (-2 * 2y + 7y * 2y)) = 0 (-6 + 21y + -10v + 35vy + (-4y + 14y2)) = 0 Reorder the terms: (-6 + -10v + 35vy + 21y + -4y + 14y2) = 0 Combine like terms: 21y + -4y = 17y (-6 + -10v + 35vy + 17y + 14y2) = 0 Solving -6 + -10v + 35vy + 17y + 14y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -10v + 35vy + 17y + 6 + 14y2 = 0 + 6 Reorder the terms: -6 + 6 + -10v + 35vy + 17y + 14y2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -10v + 35vy + 17y + 14y2 = 0 + 6 -10v + 35vy + 17y + 14y2 = 0 + 6 Combine like terms: 0 + 6 = 6 -10v + 35vy + 17y + 14y2 = 6 Add '-17y' to each side of the equation. -10v + 35vy + 17y + -17y + 14y2 = 6 + -17y Combine like terms: 17y + -17y = 0 -10v + 35vy + 0 + 14y2 = 6 + -17y -10v + 35vy + 14y2 = 6 + -17y Add '-14y2' to each side of the equation. -10v + 35vy + 14y2 + -14y2 = 6 + -17y + -14y2 Combine like terms: 14y2 + -14y2 = 0 -10v + 35vy + 0 = 6 + -17y + -14y2 -10v + 35vy = 6 + -17y + -14y2 Reorder the terms: -6 + -10v + 35vy + 17y + 14y2 = 6 + -17y + -14y2 + -6 + 17y + 14y2 Reorder the terms: -6 + -10v + 35vy + 17y + 14y2 = 6 + -6 + -17y + 17y + -14y2 + 14y2 Combine like terms: 6 + -6 = 0 -6 + -10v + 35vy + 17y + 14y2 = 0 + -17y + 17y + -14y2 + 14y2 -6 + -10v + 35vy + 17y + 14y2 = -17y + 17y + -14y2 + 14y2 Combine like terms: -17y + 17y = 0 -6 + -10v + 35vy + 17y + 14y2 = 0 + -14y2 + 14y2 -6 + -10v + 35vy + 17y + 14y2 = -14y2 + 14y2 Combine like terms: -14y2 + 14y2 = 0 -6 + -10v + 35vy + 17y + 14y2 = 0 The solution to this equation could not be determined.
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