x^2-12x+59=0forx

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Solution for x^2-12x+59=0forx equation:


Simplifying
x2 + -12x + 59 = 0forx

Reorder the terms:
59 + -12x + x2 = 0forx

Anything times zero is zero.
59 + -12x + x2 = 0forx

Solving
59 + -12x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-59' to each side of the equation.
59 + -12x + -59 + x2 = 0 + -59

Reorder the terms:
59 + -59 + -12x + x2 = 0 + -59

Combine like terms: 59 + -59 = 0
0 + -12x + x2 = 0 + -59
-12x + x2 = 0 + -59

Combine like terms: 0 + -59 = -59
-12x + x2 = -59

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 = -59 + 36

Reorder the terms:
36 + -12x + x2 = -59 + 36

Combine like terms: -59 + 36 = -23
36 + -12x + x2 = -23

Factor a perfect square on the left side:
(x + -6)(x + -6) = -23

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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