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Simplifying
76 = 2u2 + 12
Reorder the terms:
76 = 12 + 2u2
Solving
76 = 12 + 2u2
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '-2u2' to each side of the equation.
76 + -2u2 = 12 + 2u2 + -2u2
Combine like terms: 2u2 + -2u2 = 0
76 + -2u2 = 12 + 0
76 + -2u2 = 12
Add '-76' to each side of the equation.
76 + -76 + -2u2 = 12 + -76
Combine like terms: 76 + -76 = 0
0 + -2u2 = 12 + -76
-2u2 = 12 + -76
Combine like terms: 12 + -76 = -64
-2u2 = -64
Divide each side by '-2'.
u2 = 32
Simplifying
u2 = 32
Take the square root of each side:
u = {-5.656854249, 5.656854249}
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