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Simplifying (g + 8)(5g + 5) = 0 Reorder the terms: (8 + g)(5g + 5) = 0 Reorder the terms: (8 + g)(5 + 5g) = 0 Multiply (8 + g) * (5 + 5g) (8(5 + 5g) + g(5 + 5g)) = 0 ((5 * 8 + 5g * 8) + g(5 + 5g)) = 0 ((40 + 40g) + g(5 + 5g)) = 0 (40 + 40g + (5 * g + 5g * g)) = 0 (40 + 40g + (5g + 5g2)) = 0 Combine like terms: 40g + 5g = 45g (40 + 45g + 5g2) = 0 Solving 40 + 45g + 5g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '5'. 5(8 + 9g + g2) = 0 Factor a trinomial. 5((8 + g)(1 + g)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(8 + g)' equal to zero and attempt to solve: Simplifying 8 + g = 0 Solving 8 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + g = 0 + -8 g = 0 + -8 Combine like terms: 0 + -8 = -8 g = -8 Simplifying g = -8Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve: Simplifying 1 + g = 0 Solving 1 + g = 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 + g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + g = 0 + -1 g = 0 + -1 Combine like terms: 0 + -1 = -1 g = -1 Simplifying g = -1Solution
g = {-8, -1}
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