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Simplifying -15g = -1g3 + -14g2 Reorder the terms: -15g = -14g2 + -1g3 Solving -15g = -14g2 + -1g3 Solving for variable 'g'. Reorder the terms: -15g + 14g2 + g3 = -14g2 + 14g2 + -1g3 + g3 Combine like terms: -14g2 + 14g2 = 0 -15g + 14g2 + g3 = 0 + -1g3 + g3 -15g + 14g2 + g3 = -1g3 + g3 Combine like terms: -1g3 + g3 = 0 -15g + 14g2 + g3 = 0 Factor out the Greatest Common Factor (GCF), 'g'. g(-15 + 14g + g2) = 0 Factor a trinomial. g((-15 + -1g)(1 + -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 '(-15 + -1g)' equal to zero and attempt to solve: Simplifying -15 + -1g = 0 Solving -15 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1g = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1g = 0 + 15 -1g = 0 + 15 Combine like terms: 0 + 15 = 15 -1g = 15 Divide each side by '-1'. g = -15 Simplifying g = -15Subproblem 3
Set the factor '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 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 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solution
g = {0, -15, 1}
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