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Simplifying g2 + 17g + -18 = 0 Reorder the terms: -18 + 17g + g2 = 0 Solving -18 + 17g + g2 = 0 Solving for variable 'g'. Factor a trinomial. (-18 + -1g)(1 + -1g) = 0Subproblem 1
Set the factor '(-18 + -1g)' equal to zero and attempt to solve: Simplifying -18 + -1g = 0 Solving -18 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1g = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1g = 0 + 18 -1g = 0 + 18 Combine like terms: 0 + 18 = 18 -1g = 18 Divide each side by '-1'. g = -18 Simplifying g = -18Subproblem 2
Set the factor '(1 + -1g)' equal to zero and attempt to solve: Simplifying 1 + -1g = 0 Solving 1 + -1g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1g = 0 + -1 -1g = 0 + -1 Combine like terms: 0 + -1 = -1 -1g = -1 Divide each side by '-1'. g = 1 Simplifying g = 1Solution
g = {-18, 1}
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