0=u^2-4u+12

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Solution for 0=u^2-4u+12 equation:


Simplifying
0 = u2 + -4u + 12

Reorder the terms:
0 = 12 + -4u + u2

Solving
0 = 12 + -4u + u2

Solving for variable 'u'.

Combine like terms: 0 + -12 = -12
-12 + 4u + -1u2 = 12 + -4u + u2 + -12 + 4u + -1u2

Reorder the terms:
-12 + 4u + -1u2 = 12 + -12 + -4u + 4u + u2 + -1u2

Combine like terms: 12 + -12 = 0
-12 + 4u + -1u2 = 0 + -4u + 4u + u2 + -1u2
-12 + 4u + -1u2 = -4u + 4u + u2 + -1u2

Combine like terms: -4u + 4u = 0
-12 + 4u + -1u2 = 0 + u2 + -1u2
-12 + 4u + -1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
-12 + 4u + -1u2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
12 + -4u + u2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -4u + -12 + u2 = 0 + -12

Reorder the terms:
12 + -12 + -4u + u2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -4u + u2 = 0 + -12
-4u + u2 = 0 + -12

Combine like terms: 0 + -12 = -12
-4u + u2 = -12

The u term is -4u.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4u + 4 + u2 = -12 + 4

Reorder the terms:
4 + -4u + u2 = -12 + 4

Combine like terms: -12 + 4 = -8
4 + -4u + u2 = -8

Factor a perfect square on the left side:
(u + -2)(u + -2) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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