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Simplifying (n + 5)(2y + -6) = 0 Reorder the terms: (5 + n)(2y + -6) = 0 Reorder the terms: (5 + n)(-6 + 2y) = 0 Multiply (5 + n) * (-6 + 2y) (5(-6 + 2y) + n(-6 + 2y)) = 0 ((-6 * 5 + 2y * 5) + n(-6 + 2y)) = 0 ((-30 + 10y) + n(-6 + 2y)) = 0 (-30 + 10y + (-6 * n + 2y * n)) = 0 (-30 + 10y + (-6n + 2ny)) = 0 Reorder the terms: (-30 + -6n + 2ny + 10y) = 0 (-30 + -6n + 2ny + 10y) = 0 Solving -30 + -6n + 2ny + 10y = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -6n + 2ny + 30 + 10y = 0 + 30 Reorder the terms: -30 + 30 + -6n + 2ny + 10y = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -6n + 2ny + 10y = 0 + 30 -6n + 2ny + 10y = 0 + 30 Combine like terms: 0 + 30 = 30 -6n + 2ny + 10y = 30 Add '-10y' to each side of the equation. -6n + 2ny + 10y + -10y = 30 + -10y Combine like terms: 10y + -10y = 0 -6n + 2ny + 0 = 30 + -10y -6n + 2ny = 30 + -10y Reorder the terms: -30 + -6n + 2ny + 10y = 30 + -10y + -30 + 10y Reorder the terms: -30 + -6n + 2ny + 10y = 30 + -30 + -10y + 10y Combine like terms: 30 + -30 = 0 -30 + -6n + 2ny + 10y = 0 + -10y + 10y -30 + -6n + 2ny + 10y = -10y + 10y Combine like terms: -10y + 10y = 0 -30 + -6n + 2ny + 10y = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + -3n + ny + 5y) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + -3n + ny + 5y)' equal to zero and attempt to solve: Simplifying -15 + -3n + ny + 5y = 0 Solving -15 + -3n + ny + 5y = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + -3n + ny + 15 + 5y = 0 + 15 Reorder the terms: -15 + 15 + -3n + ny + 5y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3n + ny + 5y = 0 + 15 -3n + ny + 5y = 0 + 15 Combine like terms: 0 + 15 = 15 -3n + ny + 5y = 15 Add '-5y' to each side of the equation. -3n + ny + 5y + -5y = 15 + -5y Combine like terms: 5y + -5y = 0 -3n + ny + 0 = 15 + -5y -3n + ny = 15 + -5y 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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