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