u^2-25=2u^2-5u+11

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Solution for u^2-25=2u^2-5u+11 equation:


Simplifying
u2 + -25 = 2u2 + -5u + 11

Reorder the terms:
-25 + u2 = 2u2 + -5u + 11

Reorder the terms:
-25 + u2 = 11 + -5u + 2u2

Solving
-25 + u2 = 11 + -5u + 2u2

Solving for variable 'u'.

Reorder the terms:
-25 + -11 + 5u + u2 + -2u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2

Combine like terms: -25 + -11 = -36
-36 + 5u + u2 + -2u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-36 + 5u + -1u2 = 11 + -5u + 2u2 + -11 + 5u + -2u2

Reorder the terms:
-36 + 5u + -1u2 = 11 + -11 + -5u + 5u + 2u2 + -2u2

Combine like terms: 11 + -11 = 0
-36 + 5u + -1u2 = 0 + -5u + 5u + 2u2 + -2u2
-36 + 5u + -1u2 = -5u + 5u + 2u2 + -2u2

Combine like terms: -5u + 5u = 0
-36 + 5u + -1u2 = 0 + 2u2 + -2u2
-36 + 5u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-36 + 5u + -1u2 = 0

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

Divide each side by '-1'.
36 + -5u + u2 = 0

Move the constant term to the right:

Add '-36' to each side of the equation.
36 + -5u + -36 + u2 = 0 + -36

Reorder the terms:
36 + -36 + -5u + u2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -5u + u2 = 0 + -36
-5u + u2 = 0 + -36

Combine like terms: 0 + -36 = -36
-5u + u2 = -36

The u term is -5u.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5u + 6.25 + u2 = -36 + 6.25

Reorder the terms:
6.25 + -5u + u2 = -36 + 6.25

Combine like terms: -36 + 6.25 = -29.75
6.25 + -5u + u2 = -29.75

Factor a perfect square on the left side:
(u + -2.5)(u + -2.5) = -29.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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