x^2-6x=-11

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Solution for x^2-6x=-11 equation:


Simplifying
x2 + -6x = -11

Reorder the terms:
-6x + x2 = -11

Solving
-6x + x2 = -11

Solving for variable 'x'.

Reorder the terms:
11 + -6x + x2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + -6x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + -6x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -6x + x2 = 0 + -11
-6x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
-6x + x2 = -11

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 = -11 + 9

Reorder the terms:
9 + -6x + x2 = -11 + 9

Combine like terms: -11 + 9 = -2
9 + -6x + x2 = -2

Factor a perfect square on the left side:
(x + -3)(x + -3) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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