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Simplifying 36g = -81 + -4g2 Solving 36g = -81 + -4g2 Solving for variable 'g'. Reorder the terms: 81 + 36g + 4g2 = -81 + -4g2 + 81 + 4g2 Reorder the terms: 81 + 36g + 4g2 = -81 + 81 + -4g2 + 4g2 Combine like terms: -81 + 81 = 0 81 + 36g + 4g2 = 0 + -4g2 + 4g2 81 + 36g + 4g2 = -4g2 + 4g2 Combine like terms: -4g2 + 4g2 = 0 81 + 36g + 4g2 = 0 Factor a trinomial. (9 + 2g)(9 + 2g) = 0Subproblem 1
Set the factor '(9 + 2g)' equal to zero and attempt to solve: Simplifying 9 + 2g = 0 Solving 9 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2g = 0 + -9 2g = 0 + -9 Combine like terms: 0 + -9 = -9 2g = -9 Divide each side by '2'. g = -4.5 Simplifying g = -4.5Subproblem 2
Set the factor '(9 + 2g)' equal to zero and attempt to solve: Simplifying 9 + 2g = 0 Solving 9 + 2g = 0 Move all terms containing g to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2g = 0 + -9 2g = 0 + -9 Combine like terms: 0 + -9 = -9 2g = -9 Divide each side by '2'. g = -4.5 Simplifying g = -4.5Solution
g = {-4.5, -4.5}
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