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Simplifying (g2 + 15g + 26) = 0 Reorder the terms: (26 + 15g + g2) = 0 Remove parenthesis around (26 + 15g + g2) 26 + 15g + g2 = 0 Solving 26 + 15g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (13 + g)(2 + g) = 0Subproblem 1
Set the factor '(13 + g)' equal to zero and attempt to solve: Simplifying 13 + g = 0 Solving 13 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + g = 0 + -13 Combine like terms: 13 + -13 = 0 0 + g = 0 + -13 g = 0 + -13 Combine like terms: 0 + -13 = -13 g = -13 Simplifying g = -13Subproblem 2
Set the factor '(2 + g)' equal to zero and attempt to solve: Simplifying 2 + g = 0 Solving 2 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Simplifying g = -2Solution
g = {-13, -2}
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