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Simplifying 6g2 = 11g + -5 Reorder the terms: 6g2 = -5 + 11g Solving 6g2 = -5 + 11g Solving for variable 'g'. Reorder the terms: 5 + -11g + 6g2 = -5 + 11g + 5 + -11g Reorder the terms: 5 + -11g + 6g2 = -5 + 5 + 11g + -11g Combine like terms: -5 + 5 = 0 5 + -11g + 6g2 = 0 + 11g + -11g 5 + -11g + 6g2 = 11g + -11g Combine like terms: 11g + -11g = 0 5 + -11g + 6g2 = 0 Factor a trinomial. (5 + -6g)(1 + -1g) = 0Subproblem 1
Set the factor '(5 + -6g)' equal to zero and attempt to solve: Simplifying 5 + -6g = 0 Solving 5 + -6g = 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 + -6g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6g = 0 + -5 -6g = 0 + -5 Combine like terms: 0 + -5 = -5 -6g = -5 Divide each side by '-6'. g = 0.8333333333 Simplifying g = 0.8333333333Subproblem 2
Set the factor '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 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 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solution
g = {0.8333333333, 1}
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