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Simplifying (2y + 6)(3y + -3v + 5) = 0 Reorder the terms: (6 + 2y)(3y + -3v + 5) = 0 Reorder the terms: (6 + 2y)(5 + -3v + 3y) = 0 Multiply (6 + 2y) * (5 + -3v + 3y) (6(5 + -3v + 3y) + 2y * (5 + -3v + 3y)) = 0 ((5 * 6 + -3v * 6 + 3y * 6) + 2y * (5 + -3v + 3y)) = 0 ((30 + -18v + 18y) + 2y * (5 + -3v + 3y)) = 0 (30 + -18v + 18y + (5 * 2y + -3v * 2y + 3y * 2y)) = 0 Reorder the terms: (30 + -18v + 18y + (-6vy + 10y + 6y2)) = 0 (30 + -18v + 18y + (-6vy + 10y + 6y2)) = 0 Reorder the terms: (30 + -18v + -6vy + 18y + 10y + 6y2) = 0 Combine like terms: 18y + 10y = 28y (30 + -18v + -6vy + 28y + 6y2) = 0 Solving 30 + -18v + -6vy + 28y + 6y2 = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -18v + -6vy + 28y + -30 + 6y2 = 0 + -30 Reorder the terms: 30 + -30 + -18v + -6vy + 28y + 6y2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -18v + -6vy + 28y + 6y2 = 0 + -30 -18v + -6vy + 28y + 6y2 = 0 + -30 Combine like terms: 0 + -30 = -30 -18v + -6vy + 28y + 6y2 = -30 Add '-28y' to each side of the equation. -18v + -6vy + 28y + -28y + 6y2 = -30 + -28y Combine like terms: 28y + -28y = 0 -18v + -6vy + 0 + 6y2 = -30 + -28y -18v + -6vy + 6y2 = -30 + -28y Add '-6y2' to each side of the equation. -18v + -6vy + 6y2 + -6y2 = -30 + -28y + -6y2 Combine like terms: 6y2 + -6y2 = 0 -18v + -6vy + 0 = -30 + -28y + -6y2 -18v + -6vy = -30 + -28y + -6y2 Reorder the terms: 30 + -18v + -6vy + 28y + 6y2 = -30 + -28y + -6y2 + 30 + 28y + 6y2 Reorder the terms: 30 + -18v + -6vy + 28y + 6y2 = -30 + 30 + -28y + 28y + -6y2 + 6y2 Combine like terms: -30 + 30 = 0 30 + -18v + -6vy + 28y + 6y2 = 0 + -28y + 28y + -6y2 + 6y2 30 + -18v + -6vy + 28y + 6y2 = -28y + 28y + -6y2 + 6y2 Combine like terms: -28y + 28y = 0 30 + -18v + -6vy + 28y + 6y2 = 0 + -6y2 + 6y2 30 + -18v + -6vy + 28y + 6y2 = -6y2 + 6y2 Combine like terms: -6y2 + 6y2 = 0 30 + -18v + -6vy + 28y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -9v + -3vy + 14y + 3y2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -9v + -3vy + 14y + 3y2)' equal to zero and attempt to solve: Simplifying 15 + -9v + -3vy + 14y + 3y2 = 0 Solving 15 + -9v + -3vy + 14y + 3y2 = 0 Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -9v + -3vy + 14y + -15 + 3y2 = 0 + -15 Reorder the terms: 15 + -15 + -9v + -3vy + 14y + 3y2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -9v + -3vy + 14y + 3y2 = 0 + -15 -9v + -3vy + 14y + 3y2 = 0 + -15 Combine like terms: 0 + -15 = -15 -9v + -3vy + 14y + 3y2 = -15 Add '-14y' to each side of the equation. -9v + -3vy + 14y + -14y + 3y2 = -15 + -14y Combine like terms: 14y + -14y = 0 -9v + -3vy + 0 + 3y2 = -15 + -14y -9v + -3vy + 3y2 = -15 + -14y Add '-3y2' to each side of the equation. -9v + -3vy + 3y2 + -3y2 = -15 + -14y + -3y2 Combine like terms: 3y2 + -3y2 = 0 -9v + -3vy + 0 = -15 + -14y + -3y2 -9v + -3vy = -15 + -14y + -3y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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