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Simplifying 12g2y3 + -3gy = 0 Reorder the terms: -3gy + 12g2y3 = 0 Solving -3gy + 12g2y3 = 0 Solving for variable 'g'. Factor out the Greatest Common Factor (GCF), '3gy'. 3gy(-1 + 4gy2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'gy' equal to zero and attempt to solve: Simplifying gy = 0 Solving gy = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gy = 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 '(-1 + 4gy2)' equal to zero and attempt to solve: Simplifying -1 + 4gy2 = 0 Solving -1 + 4gy2 = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4gy2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4gy2 = 0 + 1 4gy2 = 0 + 1 Combine like terms: 0 + 1 = 1 4gy2 = 1 Divide each side by '4y2'. g = 0.25y-2 Simplifying g = 0.25y-2Solution
g = {0.25y-2}
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