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Simplifying 90g2 + -62g + -16 = 0 Reorder the terms: -16 + -62g + 90g2 = 0 Solving -16 + -62g + 90g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + -31g + 45g2) = 0 Factor a trinomial. 2((-1 + -5g)(8 + -9g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -5g)' equal to zero and attempt to solve: Simplifying -1 + -5g = 0 Solving -1 + -5g = 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 + -5g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5g = 0 + 1 -5g = 0 + 1 Combine like terms: 0 + 1 = 1 -5g = 1 Divide each side by '-5'. g = -0.2 Simplifying g = -0.2Subproblem 2
Set the factor '(8 + -9g)' equal to zero and attempt to solve: Simplifying 8 + -9g = 0 Solving 8 + -9g = 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 + -9g = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9g = 0 + -8 -9g = 0 + -8 Combine like terms: 0 + -8 = -8 -9g = -8 Divide each side by '-9'. g = 0.8888888889 Simplifying g = 0.8888888889Solution
g = {-0.2, 0.8888888889}
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