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Simplifying g2 + 5g = 24 Reorder the terms: 5g + g2 = 24 Solving 5g + g2 = 24 Solving for variable 'g'. Reorder the terms: -24 + 5g + g2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 5g + g2 = 0 Factor a trinomial. (-8 + -1g)(3 + -1g) = 0Subproblem 1
Set the factor '(-8 + -1g)' equal to zero and attempt to solve: Simplifying -8 + -1g = 0 Solving -8 + -1g = 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 + -1g = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1g = 0 + 8 -1g = 0 + 8 Combine like terms: 0 + 8 = 8 -1g = 8 Divide each side by '-1'. g = -8 Simplifying g = -8Subproblem 2
Set the factor '(3 + -1g)' equal to zero and attempt to solve: Simplifying 3 + -1g = 0 Solving 3 + -1g = 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 + -1g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1g = 0 + -3 -1g = 0 + -3 Combine like terms: 0 + -3 = -3 -1g = -3 Divide each side by '-1'. g = 3 Simplifying g = 3Solution
g = {-8, 3}
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