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Simplifying g2 + 14g = -45 Reorder the terms: 14g + g2 = -45 Solving 14g + g2 = -45 Solving for variable 'g'. Reorder the terms: 45 + 14g + g2 = -45 + 45 Combine like terms: -45 + 45 = 0 45 + 14g + g2 = 0 Factor a trinomial. (9 + g)(5 + g) = 0Subproblem 1
Set the factor '(9 + g)' equal to zero and attempt to solve: Simplifying 9 + g = 0 Solving 9 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + g = 0 + -9 g = 0 + -9 Combine like terms: 0 + -9 = -9 g = -9 Simplifying g = -9Subproblem 2
Set the factor '(5 + g)' equal to zero and attempt to solve: Simplifying 5 + g = 0 Solving 5 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + g = 0 + -5 Combine like terms: 5 + -5 = 0 0 + g = 0 + -5 g = 0 + -5 Combine like terms: 0 + -5 = -5 g = -5 Simplifying g = -5Solution
g = {-9, -5}
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