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Simplifying 6g3 + -15g2 + 6g = 0 Reorder the terms: 6g + -15g2 + 6g3 = 0 Solving 6g + -15g2 + 6g3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3g'. 3g(2 + -5g + 2g2) = 0 Factor a trinomial. 3g((1 + -2g)(2 + -1g)) = 0 Ignore the factor 3.Subproblem 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 '(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 3
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 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 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Solution
g = {0, 0.5, 2}
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