0=q^2-2q+515

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Solution for 0=q^2-2q+515 equation: 


Simplifying
0 = q2 + -2q + 515

Reorder the terms:
0 = 515 + -2q + q2

Solving
0 = 515 + -2q + q2

Solving for variable 'q'.

Combine like terms: 0 + -515 = -515
-515 + 2q + -1q2 = 515 + -2q + q2 + -515 + 2q + -1q2

Reorder the terms:
-515 + 2q + -1q2 = 515 + -515 + -2q + 2q + q2 + -1q2

Combine like terms: 515 + -515 = 0
-515 + 2q + -1q2 = 0 + -2q + 2q + q2 + -1q2
-515 + 2q + -1q2 = -2q + 2q + q2 + -1q2

Combine like terms: -2q + 2q = 0
-515 + 2q + -1q2 = 0 + q2 + -1q2
-515 + 2q + -1q2 = q2 + -1q2

Combine like terms: q2 + -1q2 = 0
-515 + 2q + -1q2 = 0

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

Divide each side by '-1'.
515 + -2q + q2 = 0

Move the constant term to the right:

Add '-515' to each side of the equation.
515 + -2q + -515 + q2 = 0 + -515

Reorder the terms:
515 + -515 + -2q + q2 = 0 + -515

Combine like terms: 515 + -515 = 0
0 + -2q + q2 = 0 + -515
-2q + q2 = 0 + -515

Combine like terms: 0 + -515 = -515
-2q + q2 = -515

The q term is -2q.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2q + 1 + q2 = -515 + 1

Reorder the terms:
1 + -2q + q2 = -515 + 1

Combine like terms: -515 + 1 = -514
1 + -2q + q2 = -514

Factor a perfect square on the left side:
(q + -1)(q + -1) = -514

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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