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Simplifying 8g2 + -10g + -12 = 0 Reorder the terms: -12 + -10g + 8g2 = 0 Solving -12 + -10g + 8g2 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + -5g + 4g2) = 0 Factor a trinomial. 2((-3 + -4g)(2 + -1g)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -4g)' equal to zero and attempt to solve: Simplifying -3 + -4g = 0 Solving -3 + -4g = 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 + -4g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4g = 0 + 3 -4g = 0 + 3 Combine like terms: 0 + 3 = 3 -4g = 3 Divide each side by '-4'. g = -0.75 Simplifying g = -0.75Subproblem 2
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 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 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Divide each side by '-1'. g = 2 Simplifying g = 2Solution
g = {-0.75, 2}
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