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Simplifying 2g2 + -35g + 17 = 0 Reorder the terms: 17 + -35g + 2g2 = 0 Solving 17 + -35g + 2g2 = 0 Solving for variable 'g'. Factor a trinomial. (1 + -2g)(17 + -1g) = 0Subproblem 1
Set the factor '(1 + -2g)' equal to zero and attempt to solve: Simplifying 1 + -2g = 0 Solving 1 + -2g = 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 + -2g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2g = 0 + -1 -2g = 0 + -1 Combine like terms: 0 + -1 = -1 -2g = -1 Divide each side by '-2'. g = 0.5 Simplifying g = 0.5Subproblem 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 = {0.5, 17}
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