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Simplifying 6g2 + -5g + -6 = 0 Reorder the terms: -6 + -5g + 6g2 = 0 Solving -6 + -5g + 6g2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -3g)(3 + -2g) = 0Subproblem 1
Set the factor '(-2 + -3g)' equal to zero and attempt to solve: Simplifying -2 + -3g = 0 Solving -2 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3g = 0 + 2 -3g = 0 + 2 Combine like terms: 0 + 2 = 2 -3g = 2 Divide each side by '-3'. g = -0.6666666667 Simplifying g = -0.6666666667Subproblem 2
Set the factor '(3 + -2g)' equal to zero and attempt to solve: Simplifying 3 + -2g = 0 Solving 3 + -2g = 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 + -2g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2g = 0 + -3 -2g = 0 + -3 Combine like terms: 0 + -3 = -3 -2g = -3 Divide each side by '-2'. g = 1.5 Simplifying g = 1.5Solution
g = {-0.6666666667, 1.5}
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