x(x-11)=x-39

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Solution for x(x-11)=x-39 equation:


Simplifying
x(x + -11) = x + -39

Reorder the terms:
x(-11 + x) = x + -39
(-11 * x + x * x) = x + -39
(-11x + x2) = x + -39

Reorder the terms:
-11x + x2 = -39 + x

Solving
-11x + x2 = -39 + x

Solving for variable 'x'.

Reorder the terms:
39 + -11x + -1x + x2 = -39 + x + 39 + -1x

Combine like terms: -11x + -1x = -12x
39 + -12x + x2 = -39 + x + 39 + -1x

Reorder the terms:
39 + -12x + x2 = -39 + 39 + x + -1x

Combine like terms: -39 + 39 = 0
39 + -12x + x2 = 0 + x + -1x
39 + -12x + x2 = x + -1x

Combine like terms: x + -1x = 0
39 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-39' to each side of the equation.
39 + -12x + -39 + x2 = 0 + -39

Reorder the terms:
39 + -39 + -12x + x2 = 0 + -39

Combine like terms: 39 + -39 = 0
0 + -12x + x2 = 0 + -39
-12x + x2 = 0 + -39

Combine like terms: 0 + -39 = -39
-12x + x2 = -39

The x term is -12x.  Take half its coefficient (-6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
-12x + 36 + x2 = -39 + 36

Reorder the terms:
36 + -12x + x2 = -39 + 36

Combine like terms: -39 + 36 = -3
36 + -12x + x2 = -3

Factor a perfect square on the left side:
(x + -6)(x + -6) = -3

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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