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Simplifying 15g2 + -50g = g3 Reorder the terms: -50g + 15g2 = g3 Solving -50g + 15g2 = g3 Solving for variable 'g'. Combine like terms: g3 + -1g3 = 0 -50g + 15g2 + -1g3 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-50 + 15g + -1g2) = 0 Factor a trinomial. g((-10 + g)(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 '(-10 + g)' equal to zero and attempt to solve: Simplifying -10 + g = 0 Solving -10 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + g = 0 + 10 Combine like terms: -10 + 10 = 0 0 + g = 0 + 10 g = 0 + 10 Combine like terms: 0 + 10 = 10 g = 10 Simplifying g = 10Subproblem 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, 10, 5}
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