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Simplifying
4r2 + -81g2 = 0
Reorder the terms:
-81g2 + 4r2 = 0
Solving
-81g2 + 4r2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-4r2' to each side of the equation.
-81g2 + 4r2 + -4r2 = 0 + -4r2
Combine like terms: 4r2 + -4r2 = 0
-81g2 + 0 = 0 + -4r2
-81g2 = 0 + -4r2
Remove the zero:
-81g2 = -4r2
Divide each side by '-81'.
g2 = 0.04938271605r2
Simplifying
g2 = 0.04938271605r2
Take the square root of each side:
g = {-0.222222222r, 0.222222222r}
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