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Simplifying 20g2 + -8 = -78g Reorder the terms: -8 + 20g2 = -78g Solving -8 + 20g2 = -78g Solving for variable 'g'. Reorder the terms: -8 + 78g + 20g2 = -78g + 78g Combine like terms: -78g + 78g = 0 -8 + 78g + 20g2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 39g + 10g2) = 0 Factor a trinomial. 2((-4 + -1g)(1 + -10g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1g)' equal to zero and attempt to solve: Simplifying -4 + -1g = 0 Solving -4 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1g = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1g = 0 + 4 -1g = 0 + 4 Combine like terms: 0 + 4 = 4 -1g = 4 Divide each side by '-1'. g = -4 Simplifying g = -4Subproblem 2
Set the factor '(1 + -10g)' equal to zero and attempt to solve: Simplifying 1 + -10g = 0 Solving 1 + -10g = 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 + -10g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -10g = 0 + -1 -10g = 0 + -1 Combine like terms: 0 + -1 = -1 -10g = -1 Divide each side by '-10'. g = 0.1 Simplifying g = 0.1Solution
g = {-4, 0.1}
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