x^2+59x+1296=0

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Solution for x^2+59x+1296=0 equation:


Simplifying
x2 + 59x + 1296 = 0

Reorder the terms:
1296 + 59x + x2 = 0

Solving
1296 + 59x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-1296' to each side of the equation.
1296 + 59x + -1296 + x2 = 0 + -1296

Reorder the terms:
1296 + -1296 + 59x + x2 = 0 + -1296

Combine like terms: 1296 + -1296 = 0
0 + 59x + x2 = 0 + -1296
59x + x2 = 0 + -1296

Combine like terms: 0 + -1296 = -1296
59x + x2 = -1296

The x term is 59x.  Take half its coefficient (29.5).
Square it (870.25) and add it to both sides.

Add '870.25' to each side of the equation.
59x + 870.25 + x2 = -1296 + 870.25

Reorder the terms:
870.25 + 59x + x2 = -1296 + 870.25

Combine like terms: -1296 + 870.25 = -425.75
870.25 + 59x + x2 = -425.75

Factor a perfect square on the left side:
(x + 29.5)(x + 29.5) = -425.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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