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Simplifying 5g2 + 3g + -8 = 0 Reorder the terms: -8 + 3g + 5g2 = 0 Solving -8 + 3g + 5g2 = 0 Solving for variable 'g'. Factor a trinomial. (-8 + -5g)(1 + -1g) = 0Subproblem 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 '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 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 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solution
g = {-1.6, 1}
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