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Simplifying (7y + 5)(5y + -6v + 4) = 0 Reorder the terms: (5 + 7y)(5y + -6v + 4) = 0 Reorder the terms: (5 + 7y)(4 + -6v + 5y) = 0 Multiply (5 + 7y) * (4 + -6v + 5y) (5(4 + -6v + 5y) + 7y * (4 + -6v + 5y)) = 0 ((4 * 5 + -6v * 5 + 5y * 5) + 7y * (4 + -6v + 5y)) = 0 ((20 + -30v + 25y) + 7y * (4 + -6v + 5y)) = 0 (20 + -30v + 25y + (4 * 7y + -6v * 7y + 5y * 7y)) = 0 Reorder the terms: (20 + -30v + 25y + (-42vy + 28y + 35y2)) = 0 (20 + -30v + 25y + (-42vy + 28y + 35y2)) = 0 Reorder the terms: (20 + -30v + -42vy + 25y + 28y + 35y2) = 0 Combine like terms: 25y + 28y = 53y (20 + -30v + -42vy + 53y + 35y2) = 0 Solving 20 + -30v + -42vy + 53y + 35y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -30v + -42vy + 53y + -20 + 35y2 = 0 + -20 Reorder the terms: 20 + -20 + -30v + -42vy + 53y + 35y2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -30v + -42vy + 53y + 35y2 = 0 + -20 -30v + -42vy + 53y + 35y2 = 0 + -20 Combine like terms: 0 + -20 = -20 -30v + -42vy + 53y + 35y2 = -20 Add '-53y' to each side of the equation. -30v + -42vy + 53y + -53y + 35y2 = -20 + -53y Combine like terms: 53y + -53y = 0 -30v + -42vy + 0 + 35y2 = -20 + -53y -30v + -42vy + 35y2 = -20 + -53y Add '-35y2' to each side of the equation. -30v + -42vy + 35y2 + -35y2 = -20 + -53y + -35y2 Combine like terms: 35y2 + -35y2 = 0 -30v + -42vy + 0 = -20 + -53y + -35y2 -30v + -42vy = -20 + -53y + -35y2 Reorder the terms: 20 + -30v + -42vy + 53y + 35y2 = -20 + -53y + -35y2 + 20 + 53y + 35y2 Reorder the terms: 20 + -30v + -42vy + 53y + 35y2 = -20 + 20 + -53y + 53y + -35y2 + 35y2 Combine like terms: -20 + 20 = 0 20 + -30v + -42vy + 53y + 35y2 = 0 + -53y + 53y + -35y2 + 35y2 20 + -30v + -42vy + 53y + 35y2 = -53y + 53y + -35y2 + 35y2 Combine like terms: -53y + 53y = 0 20 + -30v + -42vy + 53y + 35y2 = 0 + -35y2 + 35y2 20 + -30v + -42vy + 53y + 35y2 = -35y2 + 35y2 Combine like terms: -35y2 + 35y2 = 0 20 + -30v + -42vy + 53y + 35y2 = 0 The solution to this equation could not be determined.
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