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Simplifying (5 + y)(6z + 4) = 0 Reorder the terms: (5 + y)(4 + 6z) = 0 Multiply (5 + y) * (4 + 6z) (5(4 + 6z) + y(4 + 6z)) = 0 ((4 * 5 + 6z * 5) + y(4 + 6z)) = 0 ((20 + 30z) + y(4 + 6z)) = 0 (20 + 30z + (4 * y + 6z * y)) = 0 (20 + 30z + (4y + 6yz)) = 0 Reorder the terms: (20 + 4y + 6yz + 30z) = 0 (20 + 4y + 6yz + 30z) = 0 Solving 20 + 4y + 6yz + 30z = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 4y + 6yz + -20 + 30z = 0 + -20 Reorder the terms: 20 + -20 + 4y + 6yz + 30z = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 4y + 6yz + 30z = 0 + -20 4y + 6yz + 30z = 0 + -20 Combine like terms: 0 + -20 = -20 4y + 6yz + 30z = -20 Add '-30z' to each side of the equation. 4y + 6yz + 30z + -30z = -20 + -30z Combine like terms: 30z + -30z = 0 4y + 6yz + 0 = -20 + -30z 4y + 6yz = -20 + -30z Reorder the terms: 20 + 4y + 6yz + 30z = -20 + -30z + 20 + 30z Reorder the terms: 20 + 4y + 6yz + 30z = -20 + 20 + -30z + 30z Combine like terms: -20 + 20 = 0 20 + 4y + 6yz + 30z = 0 + -30z + 30z 20 + 4y + 6yz + 30z = -30z + 30z Combine like terms: -30z + 30z = 0 20 + 4y + 6yz + 30z = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + 2y + 3yz + 15z) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + 2y + 3yz + 15z)' equal to zero and attempt to solve: Simplifying 10 + 2y + 3yz + 15z = 0 Solving 10 + 2y + 3yz + 15z = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 2y + 3yz + -10 + 15z = 0 + -10 Reorder the terms: 10 + -10 + 2y + 3yz + 15z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 2y + 3yz + 15z = 0 + -10 2y + 3yz + 15z = 0 + -10 Combine like terms: 0 + -10 = -10 2y + 3yz + 15z = -10 Add '-15z' to each side of the equation. 2y + 3yz + 15z + -15z = -10 + -15z Combine like terms: 15z + -15z = 0 2y + 3yz + 0 = -10 + -15z 2y + 3yz = -10 + -15z 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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