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Simplifying 6g2 + -7g + -5 = 0 Reorder the terms: -5 + -7g + 6g2 = 0 Solving -5 + -7g + 6g2 = 0 Solving for variable 'g'. Factor a trinomial. (-1 + -2g)(5 + -3g) = 0Subproblem 1
Set the factor '(-1 + -2g)' equal to zero and attempt to solve: Simplifying -1 + -2g = 0 Solving -1 + -2g = 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 + -2g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2g = 0 + 1 -2g = 0 + 1 Combine like terms: 0 + 1 = 1 -2g = 1 Divide each side by '-2'. g = -0.5 Simplifying g = -0.5Subproblem 2
Set the factor '(5 + -3g)' equal to zero and attempt to solve: Simplifying 5 + -3g = 0 Solving 5 + -3g = 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 + -3g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3g = 0 + -5 -3g = 0 + -5 Combine like terms: 0 + -5 = -5 -3g = -5 Divide each side by '-3'. g = 1.666666667 Simplifying g = 1.666666667Solution
g = {-0.5, 1.666666667}
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