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Simplifying (9y + 3)(3x + 10) = 0 Reorder the terms: (3 + 9y)(3x + 10) = 0 Reorder the terms: (3 + 9y)(10 + 3x) = 0 Multiply (3 + 9y) * (10 + 3x) (3(10 + 3x) + 9y * (10 + 3x)) = 0 ((10 * 3 + 3x * 3) + 9y * (10 + 3x)) = 0 ((30 + 9x) + 9y * (10 + 3x)) = 0 (30 + 9x + (10 * 9y + 3x * 9y)) = 0 Reorder the terms: (30 + 9x + (27xy + 90y)) = 0 (30 + 9x + (27xy + 90y)) = 0 (30 + 9x + 27xy + 90y) = 0 Solving 30 + 9x + 27xy + 90y = 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 + 9x + 27xy + -30 + 90y = 0 + -30 Reorder the terms: 30 + -30 + 9x + 27xy + 90y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 9x + 27xy + 90y = 0 + -30 9x + 27xy + 90y = 0 + -30 Combine like terms: 0 + -30 = -30 9x + 27xy + 90y = -30 Add '-90y' to each side of the equation. 9x + 27xy + 90y + -90y = -30 + -90y Combine like terms: 90y + -90y = 0 9x + 27xy + 0 = -30 + -90y 9x + 27xy = -30 + -90y Reorder the terms: 30 + 9x + 27xy + 90y = -30 + -90y + 30 + 90y Reorder the terms: 30 + 9x + 27xy + 90y = -30 + 30 + -90y + 90y Combine like terms: -30 + 30 = 0 30 + 9x + 27xy + 90y = 0 + -90y + 90y 30 + 9x + 27xy + 90y = -90y + 90y Combine like terms: -90y + 90y = 0 30 + 9x + 27xy + 90y = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 3x + 9xy + 30y) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10 + 3x + 9xy + 30y)' equal to zero and attempt to solve: Simplifying 10 + 3x + 9xy + 30y = 0 Solving 10 + 3x + 9xy + 30y = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 3x + 9xy + -10 + 30y = 0 + -10 Reorder the terms: 10 + -10 + 3x + 9xy + 30y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3x + 9xy + 30y = 0 + -10 3x + 9xy + 30y = 0 + -10 Combine like terms: 0 + -10 = -10 3x + 9xy + 30y = -10 Add '-30y' to each side of the equation. 3x + 9xy + 30y + -30y = -10 + -30y Combine like terms: 30y + -30y = 0 3x + 9xy + 0 = -10 + -30y 3x + 9xy = -10 + -30y 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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