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Simplifying 3g3 + -17g2 + 10g = 0 Reorder the terms: 10g + -17g2 + 3g3 = 0 Solving 10g + -17g2 + 3g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), 'g'. g(10 + -17g + 3g2) = 0 Factor a trinomial. g((2 + -3g)(5 + -1g)) = 0Subproblem 1
Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0Subproblem 2
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 3
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, 0.6666666667, 5}
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