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Simplifying
2u2 + -64 = 0
Reorder the terms:
-64 + 2u2 = 0
Solving
-64 + 2u2 = 0
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 2u2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 2u2 = 0 + 64
2u2 = 0 + 64
Combine like terms: 0 + 64 = 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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