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Simplifying -3k2g + -1[4kg2 + -1(6k2g + -2kg2)] = 0 -3gk2 + -1[4g2k + (6gk2 * -1 + -2g2k * -1)] = 0 -3gk2 + -1[4g2k + (-6gk2 + 2g2k)] = 0 Reorder the terms: -3gk2 + -1[-6gk2 + 4g2k + 2g2k] = 0 Combine like terms: 4g2k + 2g2k = 6g2k -3gk2 + -1[-6gk2 + 6g2k] = 0 -3gk2 + [-6gk2 * -1 + 6g2k * -1] = 0 -3gk2 + [6gk2 + -6g2k] = 0 Combine like terms: -3gk2 + 6gk2 = 3gk2 3gk2 + -6g2k = 0 Solving 3gk2 + -6g2k = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3gk'. 3gk(k + -2g) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'gk' equal to zero and attempt to solve: Simplifying gk = 0 Solving gk = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gk = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(k + -2g)' equal to zero and attempt to solve: Simplifying k + -2g = 0 Reorder the terms: -2g + k = 0 Solving -2g + k = 0 Move all terms containing g to the left, all other terms to the right. Add '-1k' to each side of the equation. -2g + k + -1k = 0 + -1k Combine like terms: k + -1k = 0 -2g + 0 = 0 + -1k -2g = 0 + -1k Remove the zero: -2g = -1k Divide each side by '-2'. g = 0.5k Simplifying g = 0.5kSolution
g = {0.5k}
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