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Simplifying 6g2 + 31g + 40 = 0 Reorder the terms: 40 + 31g + 6g2 = 0 Solving 40 + 31g + 6g2 = 0 Solving for variable 'g'. Factor a trinomial. (8 + 3g)(5 + 2g) = 0Subproblem 1
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 = -2.666666667Subproblem 2
Set the factor '(5 + 2g)' equal to zero and attempt to solve: Simplifying 5 + 2g = 0 Solving 5 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2g = 0 + -5 2g = 0 + -5 Combine like terms: 0 + -5 = -5 2g = -5 Divide each side by '2'. g = -2.5 Simplifying g = -2.5Solution
g = {-2.666666667, -2.5}
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