(x^2-20x+262)=0

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Solution for (x^2-20x+262)=0 equation:


Simplifying
(x2 + -20x + 262) = 0

Reorder the terms:
(262 + -20x + x2) = 0

Remove parenthesis around (262 + -20x + x2)
262 + -20x + x2 = 0

Solving
262 + -20x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-262' to each side of the equation.
262 + -20x + -262 + x2 = 0 + -262

Reorder the terms:
262 + -262 + -20x + x2 = 0 + -262

Combine like terms: 262 + -262 = 0
0 + -20x + x2 = 0 + -262
-20x + x2 = 0 + -262

Combine like terms: 0 + -262 = -262
-20x + x2 = -262

The x term is -20x.  Take half its coefficient (-10).
Square it (100) and add it to both sides.

Add '100' to each side of the equation.
-20x + 100 + x2 = -262 + 100

Reorder the terms:
100 + -20x + x2 = -262 + 100

Combine like terms: -262 + 100 = -162
100 + -20x + x2 = -162

Factor a perfect square on the left side:
(x + -10)(x + -10) = -162

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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