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Simplifying 45g2 + -177g + 168 = 0 Reorder the terms: 168 + -177g + 45g2 = 0 Solving 168 + -177g + 45g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3'. 3(56 + -59g + 15g2) = 0 Factor a trinomial. 3((8 + -5g)(7 + -3g)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(8 + -5g)' equal to zero and attempt to solve: Simplifying 8 + -5g = 0 Solving 8 + -5g = 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 + -5g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5g = 0 + -8 -5g = 0 + -8 Combine like terms: 0 + -8 = -8 -5g = -8 Divide each side by '-5'. g = 1.6 Simplifying g = 1.6Subproblem 2
Set the factor '(7 + -3g)' equal to zero and attempt to solve: Simplifying 7 + -3g = 0 Solving 7 + -3g = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3g = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3g = 0 + -7 -3g = 0 + -7 Combine like terms: 0 + -7 = -7 -3g = -7 Divide each side by '-3'. g = 2.333333333 Simplifying g = 2.333333333Solution
g = {1.6, 2.333333333}
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