2u^2-12u+41=2(u-7)

Solution for 2u^2-12u+41=2(u-7) equation:

Simplifying
2u2 + -12u + 41 = 2(u + -7)

Reorder the terms:
41 + -12u + 2u2 = 2(u + -7)

Reorder the terms:
41 + -12u + 2u2 = 2(-7 + u)
41 + -12u + 2u2 = (-7 * 2 + u * 2)
41 + -12u + 2u2 = (-14 + 2u)

Solving
41 + -12u + 2u2 = -14 + 2u

Solving for variable 'u'.

Reorder the terms:
41 + 14 + -12u + -2u + 2u2 = -14 + 2u + 14 + -2u

Combine like terms: 41 + 14 = 55
55 + -12u + -2u + 2u2 = -14 + 2u + 14 + -2u

Combine like terms: -12u + -2u = -14u
55 + -14u + 2u2 = -14 + 2u + 14 + -2u

Reorder the terms:
55 + -14u + 2u2 = -14 + 14 + 2u + -2u

Combine like terms: -14 + 14 = 0
55 + -14u + 2u2 = 0 + 2u + -2u
55 + -14u + 2u2 = 2u + -2u

Combine like terms: 2u + -2u = 0
55 + -14u + 2u2 = 0

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

Divide each side by '2'.
27.5 + -7u + u2 = 0

Move the constant term to the right:

Add '-27.5' to each side of the equation.
27.5 + -7u + -27.5 + u2 = 0 + -27.5

Reorder the terms:
27.5 + -27.5 + -7u + u2 = 0 + -27.5

Combine like terms: 27.5 + -27.5 = 0.0
0.0 + -7u + u2 = 0 + -27.5
-7u + u2 = 0 + -27.5

Combine like terms: 0 + -27.5 = -27.5
-7u + u2 = -27.5

The u term is -7u.  Take half its coefficient (-3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
-7u + 12.25 + u2 = -27.5 + 12.25

Reorder the terms:
12.25 + -7u + u2 = -27.5 + 12.25

Combine like terms: -27.5 + 12.25 = -15.25
12.25 + -7u + u2 = -15.25

Factor a perfect square on the left side:
(u + -3.5)(u + -3.5) = -15.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.