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Simplifying (3y + -5)(y + 7v + -2) = 0 Reorder the terms: (-5 + 3y)(y + 7v + -2) = 0 Reorder the terms: (-5 + 3y)(-2 + 7v + y) = 0 Multiply (-5 + 3y) * (-2 + 7v + y) (-5(-2 + 7v + y) + 3y * (-2 + 7v + y)) = 0 ((-2 * -5 + 7v * -5 + y * -5) + 3y * (-2 + 7v + y)) = 0 ((10 + -35v + -5y) + 3y * (-2 + 7v + y)) = 0 (10 + -35v + -5y + (-2 * 3y + 7v * 3y + y * 3y)) = 0 Reorder the terms: (10 + -35v + -5y + (21vy + -6y + 3y2)) = 0 (10 + -35v + -5y + (21vy + -6y + 3y2)) = 0 Reorder the terms: (10 + -35v + 21vy + -5y + -6y + 3y2) = 0 Combine like terms: -5y + -6y = -11y (10 + -35v + 21vy + -11y + 3y2) = 0 Solving 10 + -35v + 21vy + -11y + 3y2 = 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 + -35v + 21vy + -11y + -10 + 3y2 = 0 + -10 Reorder the terms: 10 + -10 + -35v + 21vy + -11y + 3y2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -35v + 21vy + -11y + 3y2 = 0 + -10 -35v + 21vy + -11y + 3y2 = 0 + -10 Combine like terms: 0 + -10 = -10 -35v + 21vy + -11y + 3y2 = -10 Add '11y' to each side of the equation. -35v + 21vy + -11y + 11y + 3y2 = -10 + 11y Combine like terms: -11y + 11y = 0 -35v + 21vy + 0 + 3y2 = -10 + 11y -35v + 21vy + 3y2 = -10 + 11y Add '-3y2' to each side of the equation. -35v + 21vy + 3y2 + -3y2 = -10 + 11y + -3y2 Combine like terms: 3y2 + -3y2 = 0 -35v + 21vy + 0 = -10 + 11y + -3y2 -35v + 21vy = -10 + 11y + -3y2 Reorder the terms: 10 + -35v + 21vy + -11y + 3y2 = -10 + 11y + -3y2 + 10 + -11y + 3y2 Reorder the terms: 10 + -35v + 21vy + -11y + 3y2 = -10 + 10 + 11y + -11y + -3y2 + 3y2 Combine like terms: -10 + 10 = 0 10 + -35v + 21vy + -11y + 3y2 = 0 + 11y + -11y + -3y2 + 3y2 10 + -35v + 21vy + -11y + 3y2 = 11y + -11y + -3y2 + 3y2 Combine like terms: 11y + -11y = 0 10 + -35v + 21vy + -11y + 3y2 = 0 + -3y2 + 3y2 10 + -35v + 21vy + -11y + 3y2 = -3y2 + 3y2 Combine like terms: -3y2 + 3y2 = 0 10 + -35v + 21vy + -11y + 3y2 = 0 The solution to this equation could not be determined.
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