0=-(x^2-2x+13)

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Solution for 0=-(x^2-2x+13) equation:


Simplifying
0 = -1(x2 + -2x + 13)

Reorder the terms:
0 = -1(13 + -2x + x2)
0 = (13 * -1 + -2x * -1 + x2 * -1)
0 = (-13 + 2x + -1x2)

Solving
0 = -13 + 2x + -1x2

Solving for variable 'x'.

Combine like terms: 0 + 13 = 13
13 + -2x + x2 = -13 + 2x + -1x2 + 13 + -2x + x2

Reorder the terms:
13 + -2x + x2 = -13 + 13 + 2x + -2x + -1x2 + x2

Combine like terms: -13 + 13 = 0
13 + -2x + x2 = 0 + 2x + -2x + -1x2 + x2
13 + -2x + x2 = 2x + -2x + -1x2 + x2

Combine like terms: 2x + -2x = 0
13 + -2x + x2 = 0 + -1x2 + x2
13 + -2x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
13 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-13' to each side of the equation.
13 + -2x + -13 + x2 = 0 + -13

Reorder the terms:
13 + -13 + -2x + x2 = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -2x + x2 = 0 + -13
-2x + x2 = 0 + -13

Combine like terms: 0 + -13 = -13
-2x + x2 = -13

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 = -13 + 1

Reorder the terms:
1 + -2x + x2 = -13 + 1

Combine like terms: -13 + 1 = -12
1 + -2x + x2 = -12

Factor a perfect square on the left side:
(x + -1)(x + -1) = -12

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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