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Simplifying g2 + -11g + -26 = 0 Reorder the terms: -26 + -11g + g2 = 0 Solving -26 + -11g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-2 + -1g)(13 + -1g) = 0Subproblem 1
Set the factor '(-2 + -1g)' equal to zero and attempt to solve: Simplifying -2 + -1g = 0 Solving -2 + -1g = 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 + -1g = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1g = 0 + 2 -1g = 0 + 2 Combine like terms: 0 + 2 = 2 -1g = 2 Divide each side by '-1'. g = -2 Simplifying g = -2Subproblem 2
Set the factor '(13 + -1g)' equal to zero and attempt to solve: Simplifying 13 + -1g = 0 Solving 13 + -1g = 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 + -1g = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1g = 0 + -13 -1g = 0 + -13 Combine like terms: 0 + -13 = -13 -1g = -13 Divide each side by '-1'. g = 13 Simplifying g = 13Solution
g = {-2, 13}
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