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Simplifying 20g2 + 51g + 27 = 0 Reorder the terms: 27 + 51g + 20g2 = 0 Solving 27 + 51g + 20g2 = 0 Solving for variable 'g'. Factor a trinomial. (9 + 5g)(3 + 4g) = 0Subproblem 1
Set the factor '(9 + 5g)' equal to zero and attempt to solve: Simplifying 9 + 5g = 0 Solving 9 + 5g = 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 + 5g = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5g = 0 + -9 5g = 0 + -9 Combine like terms: 0 + -9 = -9 5g = -9 Divide each side by '5'. g = -1.8 Simplifying g = -1.8Subproblem 2
Set the factor '(3 + 4g)' equal to zero and attempt to solve: Simplifying 3 + 4g = 0 Solving 3 + 4g = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4g = 0 + -3 4g = 0 + -3 Combine like terms: 0 + -3 = -3 4g = -3 Divide each side by '4'. g = -0.75 Simplifying g = -0.75Solution
g = {-1.8, -0.75}
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