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Simplifying (5g + 3)(g + 8) = 0 Reorder the terms: (3 + 5g)(g + 8) = 0 Reorder the terms: (3 + 5g)(8 + g) = 0 Multiply (3 + 5g) * (8 + g) (3(8 + g) + 5g * (8 + g)) = 0 ((8 * 3 + g * 3) + 5g * (8 + g)) = 0 ((24 + 3g) + 5g * (8 + g)) = 0 (24 + 3g + (8 * 5g + g * 5g)) = 0 (24 + 3g + (40g + 5g2)) = 0 Combine like terms: 3g + 40g = 43g (24 + 43g + 5g2) = 0 Solving 24 + 43g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (8 + g)(3 + 5g) = 0Subproblem 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 '(3 + 5g)' equal to zero and attempt to solve: Simplifying 3 + 5g = 0 Solving 3 + 5g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5g = 0 + -3 5g = 0 + -3 Combine like terms: 0 + -3 = -3 5g = -3 Divide each side by '5'. g = -0.6 Simplifying g = -0.6Solution
g = {-8, -0.6}
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