(u-7)=2u^2-4u+4

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Solution for (u-7)=2u^2-4u+4 equation: 


Simplifying
(u + -7) = 2u2 + -4u + 4

Reorder the terms:
(-7 + u) = 2u2 + -4u + 4

Remove parenthesis around (-7 + u)
-7 + u = 2u2 + -4u + 4

Reorder the terms:
-7 + u = 4 + -4u + 2u2

Solving
-7 + u = 4 + -4u + 2u2

Solving for variable 'u'.

Reorder the terms:
-7 + -4 + u + 4u + -2u2 = 4 + -4u + 2u2 + -4 + 4u + -2u2

Combine like terms: -7 + -4 = -11
-11 + u + 4u + -2u2 = 4 + -4u + 2u2 + -4 + 4u + -2u2

Combine like terms: u + 4u = 5u
-11 + 5u + -2u2 = 4 + -4u + 2u2 + -4 + 4u + -2u2

Reorder the terms:
-11 + 5u + -2u2 = 4 + -4 + -4u + 4u + 2u2 + -2u2

Combine like terms: 4 + -4 = 0
-11 + 5u + -2u2 = 0 + -4u + 4u + 2u2 + -2u2
-11 + 5u + -2u2 = -4u + 4u + 2u2 + -2u2

Combine like terms: -4u + 4u = 0
-11 + 5u + -2u2 = 0 + 2u2 + -2u2
-11 + 5u + -2u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-11 + 5u + -2u2 = 0

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

Divide each side by '-2'.
5.5 + -2.5u + u2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -2.5u + -5.5 + u2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -2.5u + u2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -2.5u + u2 = 0 + -5.5
-2.5u + u2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-2.5u + u2 = -5.5

The u term is -2.5u.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5u + 1.5625 + u2 = -5.5 + 1.5625

Reorder the terms:
1.5625 + -2.5u + u2 = -5.5 + 1.5625

Combine like terms: -5.5 + 1.5625 = -3.9375
1.5625 + -2.5u + u2 = -3.9375

Factor a perfect square on the left side:
(u + -1.25)(u + -1.25) = -3.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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