x^2-12x=-55

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Solution for x^2-12x=-55 equation:


Simplifying
x2 + -12x = -55

Reorder the terms:
-12x + x2 = -55

Solving
-12x + x2 = -55

Solving for variable 'x'.

Reorder the terms:
55 + -12x + x2 = -55 + 55

Combine like terms: -55 + 55 = 0
55 + -12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-55' to each side of the equation.
55 + -12x + -55 + x2 = 0 + -55

Reorder the terms:
55 + -55 + -12x + x2 = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -12x + x2 = 0 + -55
-12x + x2 = 0 + -55

Combine like terms: 0 + -55 = -55
-12x + x2 = -55

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 = -55 + 36

Reorder the terms:
36 + -12x + x2 = -55 + 36

Combine like terms: -55 + 36 = -19
36 + -12x + x2 = -19

Factor a perfect square on the left side:
(x + -6)(x + -6) = -19

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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