x^2-2x+320=0

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Solution for x^2-2x+320=0 equation:


Simplifying
x2 + -2x + 320 = 0

Reorder the terms:
320 + -2x + x2 = 0

Solving
320 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-320' to each side of the equation.
320 + -2x + -320 + x2 = 0 + -320

Reorder the terms:
320 + -320 + -2x + x2 = 0 + -320

Combine like terms: 320 + -320 = 0
0 + -2x + x2 = 0 + -320
-2x + x2 = 0 + -320

Combine like terms: 0 + -320 = -320
-2x + x2 = -320

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

Add '1' to each side of the equation.
-2x + 1 + x2 = -320 + 1

Reorder the terms:
1 + -2x + x2 = -320 + 1

Combine like terms: -320 + 1 = -319
1 + -2x + x2 = -319

Factor a perfect square on the left side:
(x + -1)(x + -1) = -319

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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