x^2-6x+22=0

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Solution for x^2-6x+22=0 equation:


Simplifying
x2 + -6x + 22 = 0

Reorder the terms:
22 + -6x + x2 = 0

Solving
22 + -6x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-22' to each side of the equation.
22 + -6x + -22 + x2 = 0 + -22

Reorder the terms:
22 + -22 + -6x + x2 = 0 + -22

Combine like terms: 22 + -22 = 0
0 + -6x + x2 = 0 + -22
-6x + x2 = 0 + -22

Combine like terms: 0 + -22 = -22
-6x + x2 = -22

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -22 + 9

Reorder the terms:
9 + -6x + x2 = -22 + 9

Combine like terms: -22 + 9 = -13
9 + -6x + x2 = -13

Factor a perfect square on the left side:
(x + -3)(x + -3) = -13

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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