x^2+13x+59=

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Solution for x^2+13x+59= equation:


Simplifying
x2 + 13x + 59 = 0

Reorder the terms:
59 + 13x + x2 = 0

Solving
59 + 13x + 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 + 13x + -59 + x2 = 0 + -59

Reorder the terms:
59 + -59 + 13x + x2 = 0 + -59

Combine like terms: 59 + -59 = 0
0 + 13x + x2 = 0 + -59
13x + x2 = 0 + -59

Combine like terms: 0 + -59 = -59
13x + x2 = -59

The x term is 13x.  Take half its coefficient (6.5).
Square it (42.25) and add it to both sides.

Add '42.25' to each side of the equation.
13x + 42.25 + x2 = -59 + 42.25

Reorder the terms:
42.25 + 13x + x2 = -59 + 42.25

Combine like terms: -59 + 42.25 = -16.75
42.25 + 13x + x2 = -16.75

Factor a perfect square on the left side:
(x + 6.5)(x + 6.5) = -16.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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