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Simplifying 45g2 + 12g + -9 = 0 Reorder the terms: -9 + 12g + 45g2 = 0 Solving -9 + 12g + 45g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 4g + 15g2) = 0 Factor a trinomial. 3((-3 + -5g)(1 + -3g)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + -5g)' equal to zero and attempt to solve: Simplifying -3 + -5g = 0 Solving -3 + -5g = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5g = 0 + 3 -5g = 0 + 3 Combine like terms: 0 + 3 = 3 -5g = 3 Divide each side by '-5'. g = -0.6 Simplifying g = -0.6Subproblem 2
Set the factor '(1 + -3g)' equal to zero and attempt to solve: Simplifying 1 + -3g = 0 Solving 1 + -3g = 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 + -3g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3g = 0 + -1 -3g = 0 + -1 Combine like terms: 0 + -1 = -1 -3g = -1 Divide each side by '-3'. g = 0.3333333333 Simplifying g = 0.3333333333Solution
g = {-0.6, 0.3333333333}
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