u^2+49=2u^2-6u+64

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Solution for u^2+49=2u^2-6u+64 equation: 


Simplifying
u2 + 49 = 2u2 + -6u + 64

Reorder the terms:
49 + u2 = 2u2 + -6u + 64

Reorder the terms:
49 + u2 = 64 + -6u + 2u2

Solving
49 + u2 = 64 + -6u + 2u2

Solving for variable 'u'.

Reorder the terms:
49 + -64 + 6u + u2 + -2u2 = 64 + -6u + 2u2 + -64 + 6u + -2u2

Combine like terms: 49 + -64 = -15
-15 + 6u + u2 + -2u2 = 64 + -6u + 2u2 + -64 + 6u + -2u2

Combine like terms: u2 + -2u2 = -1u2
-15 + 6u + -1u2 = 64 + -6u + 2u2 + -64 + 6u + -2u2

Reorder the terms:
-15 + 6u + -1u2 = 64 + -64 + -6u + 6u + 2u2 + -2u2

Combine like terms: 64 + -64 = 0
-15 + 6u + -1u2 = 0 + -6u + 6u + 2u2 + -2u2
-15 + 6u + -1u2 = -6u + 6u + 2u2 + -2u2

Combine like terms: -6u + 6u = 0
-15 + 6u + -1u2 = 0 + 2u2 + -2u2
-15 + 6u + -1u2 = 2u2 + -2u2

Combine like terms: 2u2 + -2u2 = 0
-15 + 6u + -1u2 = 0

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

Divide each side by '-1'.
15 + -6u + u2 = 0

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + -6u + -15 + u2 = 0 + -15

Reorder the terms:
15 + -15 + -6u + u2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -6u + u2 = 0 + -15
-6u + u2 = 0 + -15

Combine like terms: 0 + -15 = -15
-6u + u2 = -15

The u term is -6u.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6u + 9 + u2 = -15 + 9

Reorder the terms:
9 + -6u + u2 = -15 + 9

Combine like terms: -15 + 9 = -6
9 + -6u + u2 = -6

Factor a perfect square on the left side:
(u + -3)(u + -3) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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