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Simplifying 18g2 + 36g + -32 = 0 Reorder the terms: -32 + 36g + 18g2 = 0 Solving -32 + 36g + 18g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(-16 + 18g + 9g2) = 0 Factor a trinomial. 2((-8 + -3g)(2 + -3g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -3g)' equal to zero and attempt to solve: Simplifying -8 + -3g = 0 Solving -8 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -3g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3g = 0 + 8 -3g = 0 + 8 Combine like terms: 0 + 8 = 8 -3g = 8 Divide each side by '-3'. g = -2.666666667 Simplifying g = -2.666666667Subproblem 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 = 0.6666666667Solution
g = {-2.666666667, 0.6666666667}
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