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Simplifying g2 + 10g + 25 = 0 Reorder the terms: 25 + 10g + g2 = 0 Solving 25 + 10g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (5 + g)(5 + g) = 0Subproblem 1
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 = -5Subproblem 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 = {-5, -5}
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