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Simplifying (3G + 4)(3G + 4) = 0 Reorder the terms: (4 + 3G)(3G + 4) = 0 Reorder the terms: (4 + 3G)(4 + 3G) = 0 Multiply (4 + 3G) * (4 + 3G) (4(4 + 3G) + 3G * (4 + 3G)) = 0 ((4 * 4 + 3G * 4) + 3G * (4 + 3G)) = 0 ((16 + 12G) + 3G * (4 + 3G)) = 0 (16 + 12G + (4 * 3G + 3G * 3G)) = 0 (16 + 12G + (12G + 9G2)) = 0 Combine like terms: 12G + 12G = 24G (16 + 24G + 9G2) = 0 Solving 16 + 24G + 9G2 = 0 Solving for variable 'G'. Factor a trinomial. (4 + 3G)(4 + 3G) = 0Subproblem 1
Set the factor '(4 + 3G)' equal to zero and attempt to solve: Simplifying 4 + 3G = 0 Solving 4 + 3G = 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 + 3G = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3G = 0 + -4 3G = 0 + -4 Combine like terms: 0 + -4 = -4 3G = -4 Divide each side by '3'. G = -1.333333333 Simplifying G = -1.333333333Subproblem 2
Set the factor '(4 + 3G)' equal to zero and attempt to solve: Simplifying 4 + 3G = 0 Solving 4 + 3G = 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 + 3G = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3G = 0 + -4 3G = 0 + -4 Combine like terms: 0 + -4 = -4 3G = -4 Divide each side by '3'. G = -1.333333333 Simplifying G = -1.333333333Solution
G = {-1.333333333, -1.333333333}
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