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Simplifying g2 + 25g + 24 = 0 Reorder the terms: 24 + 25g + g2 = 0 Solving 24 + 25g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (24 + g)(1 + g) = 0Subproblem 1
Set the factor '(24 + g)' equal to zero and attempt to solve: Simplifying 24 + g = 0 Solving 24 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + g = 0 + -24 Combine like terms: 24 + -24 = 0 0 + g = 0 + -24 g = 0 + -24 Combine like terms: 0 + -24 = -24 g = -24 Simplifying g = -24Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve: Simplifying 1 + g = 0 Solving 1 + g = 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 + g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + g = 0 + -1 g = 0 + -1 Combine like terms: 0 + -1 = -1 g = -1 Simplifying g = -1Solution
g = {-24, -1}
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