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Simplifying 17g2 + 35g + 2 = 0 Reorder the terms: 2 + 35g + 17g2 = 0 Solving 2 + 35g + 17g2 = 0 Solving for variable 'g'. Factor a trinomial. (2 + g)(1 + 17g) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(1 + 17g)' equal to zero and attempt to solve: Simplifying 1 + 17g = 0 Solving 1 + 17g = 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 + 17g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 17g = 0 + -1 17g = 0 + -1 Combine like terms: 0 + -1 = -1 17g = -1 Divide each side by '17'. g = -0.05882352941 Simplifying g = -0.05882352941Solution
g = {-2, -0.05882352941}
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