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Simplifying -3g2 + -54g + -243 = 0 Reorder the terms: -243 + -54g + -3g2 = 0 Solving -243 + -54g + -3g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '-3'. -3(81 + 18g + g2) = 0 Factor a trinomial. -3((9 + g)(9 + g)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(9 + g)' equal to zero and attempt to solve: Simplifying 9 + g = 0 Solving 9 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g = 0 + -9 g = 0 + -9 Combine like terms: 0 + -9 = -9 g = -9 Simplifying g = -9Subproblem 2
Set the factor '(9 + g)' equal to zero and attempt to solve: Simplifying 9 + g = 0 Solving 9 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g = 0 + -9 g = 0 + -9 Combine like terms: 0 + -9 = -9 g = -9 Simplifying g = -9Solution
g = {-9, -9}
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