x^2-2x+49=0

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Solution for x^2-2x+49=0 equation:


Simplifying
x2 + -2x + 49 = 0

Reorder the terms:
49 + -2x + x2 = 0

Solving
49 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-49' to each side of the equation.
49 + -2x + -49 + x2 = 0 + -49

Reorder the terms:
49 + -49 + -2x + x2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -2x + x2 = 0 + -49
-2x + x2 = 0 + -49

Combine like terms: 0 + -49 = -49
-2x + x2 = -49

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 = -49 + 1

Reorder the terms:
1 + -2x + x2 = -49 + 1

Combine like terms: -49 + 1 = -48
1 + -2x + x2 = -48

Factor a perfect square on the left side:
(x + -1)(x + -1) = -48

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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