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Simplifying 3g2 + 20g + 32 = 0 Reorder the terms: 32 + 20g + 3g2 = 0 Solving 32 + 20g + 3g2 = 0 Solving for variable 'g'. Factor a trinomial. (4 + g)(8 + 3g) = 0Subproblem 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 '(8 + 3g)' equal to zero and attempt to solve: Simplifying 8 + 3g = 0 Solving 8 + 3g = 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 + 3g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3g = 0 + -8 3g = 0 + -8 Combine like terms: 0 + -8 = -8 3g = -8 Divide each side by '3'. g = -2.666666667 Simplifying g = -2.666666667Solution
g = {-4, -2.666666667}
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