x^2-2x+68=0

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Solution for x^2-2x+68=0 equation:


Simplifying
x2 + -2x + 68 = 0

Reorder the terms:
68 + -2x + x2 = 0

Solving
68 + -2x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-68' to each side of the equation.
68 + -2x + -68 + x2 = 0 + -68

Reorder the terms:
68 + -68 + -2x + x2 = 0 + -68

Combine like terms: 68 + -68 = 0
0 + -2x + x2 = 0 + -68
-2x + x2 = 0 + -68

Combine like terms: 0 + -68 = -68
-2x + x2 = -68

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 = -68 + 1

Reorder the terms:
1 + -2x + x2 = -68 + 1

Combine like terms: -68 + 1 = -67
1 + -2x + x2 = -67

Factor a perfect square on the left side:
(x + -1)(x + -1) = -67

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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