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Simplifying 2g2 = -9g + -4 Reorder the terms: 2g2 = -4 + -9g Solving 2g2 = -4 + -9g Solving for variable 'g'. Reorder the terms: 4 + 9g + 2g2 = -4 + -9g + 4 + 9g Reorder the terms: 4 + 9g + 2g2 = -4 + 4 + -9g + 9g Combine like terms: -4 + 4 = 0 4 + 9g + 2g2 = 0 + -9g + 9g 4 + 9g + 2g2 = -9g + 9g Combine like terms: -9g + 9g = 0 4 + 9g + 2g2 = 0 Factor a trinomial. (4 + g)(1 + 2g) = 0Subproblem 1
Set the factor '(4 + g)' equal to zero and attempt to solve: Simplifying 4 + g = 0 Solving 4 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + g = 0 + -4 Combine like terms: 4 + -4 = 0 0 + g = 0 + -4 g = 0 + -4 Combine like terms: 0 + -4 = -4 g = -4 Simplifying g = -4Subproblem 2
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 = -0.5Solution
g = {-4, -0.5}
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