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Simplifying 20G2 + -21G + -27 = 0 Reorder the terms: -27 + -21G + 20G2 = 0 Solving -27 + -21G + 20G2 = 0 Solving for variable 'G'. Factor a trinomial. (-3 + -4G)(9 + -5G) = 0Subproblem 1
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 = -0.75Subproblem 2
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 = 1.8Solution
G = {-0.75, 1.8}
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