(u^2)-25=2u^2-8u+1

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Solution for (u^2)-25=2u^2-8u+1 equation: 


Simplifying
(u2) + -25 = 2u2 + -8u + 1
u2 + -25 = 2u2 + -8u + 1

Reorder the terms:
-25 + u2 = 2u2 + -8u + 1

Reorder the terms:
-25 + u2 = 1 + -8u + 2u2

Solving
-25 + u2 = 1 + -8u + 2u2

Solving for variable 'u'.

Reorder the terms:
-25 + -1 + 8u + u2 + -2u2 = 1 + -8u + 2u2 + -1 + 8u + -2u2

Combine like terms: -25 + -1 = -26
-26 + 8u + u2 + -2u2 = 1 + -8u + 2u2 + -1 + 8u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-26 + 8u + -1u2 = 1 + -8u + 2u2 + -1 + 8u + -2u2

Reorder the terms:
-26 + 8u + -1u2 = 1 + -1 + -8u + 8u + 2u2 + -2u2

Combine like terms: 1 + -1 = 0
-26 + 8u + -1u2 = 0 + -8u + 8u + 2u2 + -2u2
-26 + 8u + -1u2 = -8u + 8u + 2u2 + -2u2

Combine like terms: -8u + 8u = 0
-26 + 8u + -1u2 = 0 + 2u2 + -2u2
-26 + 8u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-26 + 8u + -1u2 = 0

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

Divide each side by '-1'.
26 + -8u + u2 = 0

Move the constant term to the right:

Add '-26' to each side of the equation.
26 + -8u + -26 + u2 = 0 + -26

Reorder the terms:
26 + -26 + -8u + u2 = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -8u + u2 = 0 + -26
-8u + u2 = 0 + -26

Combine like terms: 0 + -26 = -26
-8u + u2 = -26

The u term is -8u.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8u + 16 + u2 = -26 + 16

Reorder the terms:
16 + -8u + u2 = -26 + 16

Combine like terms: -26 + 16 = -10
16 + -8u + u2 = -10

Factor a perfect square on the left side:
(u + -4)(u + -4) = -10

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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