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Simplifying
5g2 + -39 + 6 = 2g2 + 9
Reorder the terms:
-39 + 6 + 5g2 = 2g2 + 9
Combine like terms: -39 + 6 = -33
-33 + 5g2 = 2g2 + 9
Reorder the terms:
-33 + 5g2 = 9 + 2g2
Solving
-33 + 5g2 = 9 + 2g2
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '-2g2' to each side of the equation.
-33 + 5g2 + -2g2 = 9 + 2g2 + -2g2
Combine like terms: 5g2 + -2g2 = 3g2
-33 + 3g2 = 9 + 2g2 + -2g2
Combine like terms: 2g2 + -2g2 = 0
-33 + 3g2 = 9 + 0
-33 + 3g2 = 9
Add '33' to each side of the equation.
-33 + 33 + 3g2 = 9 + 33
Combine like terms: -33 + 33 = 0
0 + 3g2 = 9 + 33
3g2 = 9 + 33
Combine like terms: 9 + 33 = 42
3g2 = 42
Divide each side by '3'.
g2 = 14
Simplifying
g2 = 14
Take the square root of each side:
g = {-3.741657387, 3.741657387}
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