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Simplifying 3g2 + -13g + -10 = 0 Reorder the terms: -10 + -13g + 3g2 = 0 Solving -10 + -13g + 3g2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -3g)(5 + -1g) = 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 '(5 + -1g)' equal to zero and attempt to solve: Simplifying 5 + -1g = 0 Solving 5 + -1g = 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 + -1g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1g = 0 + -5 -1g = 0 + -5 Combine like terms: 0 + -5 = -5 -1g = -5 Divide each side by '-1'. g = 5 Simplifying g = 5Solution
g = {-0.6666666667, 5}
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