x^2-2x+5=-4

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Solution for x^2-2x+5=-4 equation:


Simplifying
x2 + -2x + 5 = -4

Reorder the terms:
5 + -2x + x2 = -4

Solving
5 + -2x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
5 + 4 + -2x + x2 = -4 + 4

Combine like terms: 5 + 4 = 9
9 + -2x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
9 + -2x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-9' to each side of the equation.
9 + -2x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -2x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x + x2 = 0 + -9
-2x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-2x + x2 = -9

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 = -9 + 1

Reorder the terms:
1 + -2x + x2 = -9 + 1

Combine like terms: -9 + 1 = -8
1 + -2x + x2 = -8

Factor a perfect square on the left side:
(x + -1)(x + -1) = -8

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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