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Simplifying
49w2 + -9g2 = 0
Reorder the terms:
-9g2 + 49w2 = 0
Solving
-9g2 + 49w2 = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-49w2' to each side of the equation.
-9g2 + 49w2 + -49w2 = 0 + -49w2
Combine like terms: 49w2 + -49w2 = 0
-9g2 + 0 = 0 + -49w2
-9g2 = 0 + -49w2
Remove the zero:
-9g2 = -49w2
Divide each side by '-9'.
g2 = 5.444444444w2
Simplifying
g2 = 5.444444444w2
Take the square root of each side:
g = {-2.333333333w, 2.333333333w}
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