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Simplifying (7y + 1)(3y + -4v + -2) = 0 Reorder the terms: (1 + 7y)(3y + -4v + -2) = 0 Reorder the terms: (1 + 7y)(-2 + -4v + 3y) = 0 Multiply (1 + 7y) * (-2 + -4v + 3y) (1(-2 + -4v + 3y) + 7y * (-2 + -4v + 3y)) = 0 ((-2 * 1 + -4v * 1 + 3y * 1) + 7y * (-2 + -4v + 3y)) = 0 ((-2 + -4v + 3y) + 7y * (-2 + -4v + 3y)) = 0 (-2 + -4v + 3y + (-2 * 7y + -4v * 7y + 3y * 7y)) = 0 Reorder the terms: (-2 + -4v + 3y + (-28vy + -14y + 21y2)) = 0 (-2 + -4v + 3y + (-28vy + -14y + 21y2)) = 0 Reorder the terms: (-2 + -4v + -28vy + 3y + -14y + 21y2) = 0 Combine like terms: 3y + -14y = -11y (-2 + -4v + -28vy + -11y + 21y2) = 0 Solving -2 + -4v + -28vy + -11y + 21y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -4v + -28vy + -11y + 2 + 21y2 = 0 + 2 Reorder the terms: -2 + 2 + -4v + -28vy + -11y + 21y2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -4v + -28vy + -11y + 21y2 = 0 + 2 -4v + -28vy + -11y + 21y2 = 0 + 2 Combine like terms: 0 + 2 = 2 -4v + -28vy + -11y + 21y2 = 2 Add '11y' to each side of the equation. -4v + -28vy + -11y + 11y + 21y2 = 2 + 11y Combine like terms: -11y + 11y = 0 -4v + -28vy + 0 + 21y2 = 2 + 11y -4v + -28vy + 21y2 = 2 + 11y Add '-21y2' to each side of the equation. -4v + -28vy + 21y2 + -21y2 = 2 + 11y + -21y2 Combine like terms: 21y2 + -21y2 = 0 -4v + -28vy + 0 = 2 + 11y + -21y2 -4v + -28vy = 2 + 11y + -21y2 Reorder the terms: -2 + -4v + -28vy + -11y + 21y2 = 2 + 11y + -21y2 + -2 + -11y + 21y2 Reorder the terms: -2 + -4v + -28vy + -11y + 21y2 = 2 + -2 + 11y + -11y + -21y2 + 21y2 Combine like terms: 2 + -2 = 0 -2 + -4v + -28vy + -11y + 21y2 = 0 + 11y + -11y + -21y2 + 21y2 -2 + -4v + -28vy + -11y + 21y2 = 11y + -11y + -21y2 + 21y2 Combine like terms: 11y + -11y = 0 -2 + -4v + -28vy + -11y + 21y2 = 0 + -21y2 + 21y2 -2 + -4v + -28vy + -11y + 21y2 = -21y2 + 21y2 Combine like terms: -21y2 + 21y2 = 0 -2 + -4v + -28vy + -11y + 21y2 = 0 The solution to this equation could not be determined.
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