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Simplifying g2 + -14g + -51 = 0 Reorder the terms: -51 + -14g + g2 = 0 Solving -51 + -14g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-3 + -1g)(17 + -1g) = 0Subproblem 1
Set the factor '(-3 + -1g)' equal to zero and attempt to solve: Simplifying -3 + -1g = 0 Solving -3 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1g = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1g = 0 + 3 -1g = 0 + 3 Combine like terms: 0 + 3 = 3 -1g = 3 Divide each side by '-1'. g = -3 Simplifying g = -3Subproblem 2
Set the factor '(17 + -1g)' equal to zero and attempt to solve: Simplifying 17 + -1g = 0 Solving 17 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -1g = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1g = 0 + -17 -1g = 0 + -17 Combine like terms: 0 + -17 = -17 -1g = -17 Divide each side by '-1'. g = 17 Simplifying g = 17Solution
g = {-3, 17}
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