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Simplifying (4y + 7)(3y + 6v + -5) = 0 Reorder the terms: (7 + 4y)(3y + 6v + -5) = 0 Reorder the terms: (7 + 4y)(-5 + 6v + 3y) = 0 Multiply (7 + 4y) * (-5 + 6v + 3y) (7(-5 + 6v + 3y) + 4y * (-5 + 6v + 3y)) = 0 ((-5 * 7 + 6v * 7 + 3y * 7) + 4y * (-5 + 6v + 3y)) = 0 ((-35 + 42v + 21y) + 4y * (-5 + 6v + 3y)) = 0 (-35 + 42v + 21y + (-5 * 4y + 6v * 4y + 3y * 4y)) = 0 Reorder the terms: (-35 + 42v + 21y + (24vy + -20y + 12y2)) = 0 (-35 + 42v + 21y + (24vy + -20y + 12y2)) = 0 Reorder the terms: (-35 + 42v + 24vy + 21y + -20y + 12y2) = 0 Combine like terms: 21y + -20y = 1y (-35 + 42v + 24vy + 1y + 12y2) = 0 Solving -35 + 42v + 24vy + 1y + 12y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 42v + 24vy + 1y + 35 + 12y2 = 0 + 35 Reorder the terms: -35 + 35 + 42v + 24vy + 1y + 12y2 = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 42v + 24vy + 1y + 12y2 = 0 + 35 42v + 24vy + 1y + 12y2 = 0 + 35 Combine like terms: 0 + 35 = 35 42v + 24vy + 1y + 12y2 = 35 Add '-1y' to each side of the equation. 42v + 24vy + 1y + -1y + 12y2 = 35 + -1y Combine like terms: 1y + -1y = 0 42v + 24vy + 0 + 12y2 = 35 + -1y 42v + 24vy + 12y2 = 35 + -1y Add '-12y2' to each side of the equation. 42v + 24vy + 12y2 + -12y2 = 35 + -1y + -12y2 Combine like terms: 12y2 + -12y2 = 0 42v + 24vy + 0 = 35 + -1y + -12y2 42v + 24vy = 35 + -1y + -12y2 Reorder the terms: -35 + 42v + 24vy + y + 12y2 = 35 + -1y + -12y2 + -35 + y + 12y2 Reorder the terms: -35 + 42v + 24vy + y + 12y2 = 35 + -35 + -1y + y + -12y2 + 12y2 Combine like terms: 35 + -35 = 0 -35 + 42v + 24vy + y + 12y2 = 0 + -1y + y + -12y2 + 12y2 -35 + 42v + 24vy + y + 12y2 = -1y + y + -12y2 + 12y2 Combine like terms: -1y + y = 0 -35 + 42v + 24vy + y + 12y2 = 0 + -12y2 + 12y2 -35 + 42v + 24vy + y + 12y2 = -12y2 + 12y2 Combine like terms: -12y2 + 12y2 = 0 -35 + 42v + 24vy + y + 12y2 = 0 The solution to this equation could not be determined.
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