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Simplifying G(6 + -3g)(6 + 3g) = 0 Multiply (6 + -3g) * (6 + 3g) G(6(6 + 3g) + -3g * (6 + 3g)) = 0 G((6 * 6 + 3g * 6) + -3g * (6 + 3g)) = 0 G((36 + 18g) + -3g * (6 + 3g)) = 0 G(36 + 18g + (6 * -3g + 3g * -3g)) = 0 G(36 + 18g + (-18g + -9g2)) = 0 Combine like terms: 18g + -18g = 0 G(36 + 0 + -9g2) = 0 G(36 + -9g2) = 0 (36 * G + -9g2 * G) = 0 (36G + -9g2G) = 0 Solving 36G + -9g2G = 0 Solving for variable 'G'. Move all terms containing G to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '9G'. 9G(4 + -1g2) = 0 Factor a difference between two squares. 9G((2 + g)(2 + -1g)) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'G' equal to zero and attempt to solve: Simplifying G = 0 Solving G = 0 Move all terms containing G to the left, all other terms to the right. Simplifying G = 0Subproblem 2
Set the factor '(2 + g)' equal to zero and attempt to solve: Simplifying 2 + g = 0 Solving 2 + g = 0 Move all terms containing G to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + g = 0 + -2 g = 0 + -2 Combine like terms: 0 + -2 = -2 g = -2 Add '-1g' to each side of the equation. g + -1g = -2 + -1g Combine like terms: g + -1g = 0 0 = -2 + -1g Simplifying 0 = -2 + -1g The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(2 + -1g)' equal to zero and attempt to solve: Simplifying 2 + -1g = 0 Solving 2 + -1g = 0 Move all terms containing G to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1g = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1g = 0 + -2 -1g = 0 + -2 Combine like terms: 0 + -2 = -2 -1g = -2 Add 'g' to each side of the equation. -1g + g = -2 + g Combine like terms: -1g + g = 0 0 = -2 + g Simplifying 0 = -2 + g The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
G = {0}
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