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Simplifying (3g + 12)(5g + 1) = 0 Reorder the terms: (12 + 3g)(5g + 1) = 0 Reorder the terms: (12 + 3g)(1 + 5g) = 0 Multiply (12 + 3g) * (1 + 5g) (12(1 + 5g) + 3g * (1 + 5g)) = 0 ((1 * 12 + 5g * 12) + 3g * (1 + 5g)) = 0 ((12 + 60g) + 3g * (1 + 5g)) = 0 (12 + 60g + (1 * 3g + 5g * 3g)) = 0 (12 + 60g + (3g + 15g2)) = 0 Combine like terms: 60g + 3g = 63g (12 + 63g + 15g2) = 0 Solving 12 + 63g + 15g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3'. 3(4 + 21g + 5g2) = 0 Factor a trinomial. 3((4 + g)(1 + 5g)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(4 + g)' equal to zero and attempt to solve: Simplifying 4 + g = 0 Solving 4 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + g = 0 + -4 g = 0 + -4 Combine like terms: 0 + -4 = -4 g = -4 Simplifying g = -4Subproblem 2
Set the factor '(1 + 5g)' equal to zero and attempt to solve: Simplifying 1 + 5g = 0 Solving 1 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5g = 0 + -1 5g = 0 + -1 Combine like terms: 0 + -1 = -1 5g = -1 Divide each side by '5'. g = -0.2 Simplifying g = -0.2Solution
g = {-4, -0.2}
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