x^2-23x+437=0

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Solution for x^2-23x+437=0 equation:


Simplifying
x2 + -23x + 437 = 0

Reorder the terms:
437 + -23x + x2 = 0

Solving
437 + -23x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-437' to each side of the equation.
437 + -23x + -437 + x2 = 0 + -437

Reorder the terms:
437 + -437 + -23x + x2 = 0 + -437

Combine like terms: 437 + -437 = 0
0 + -23x + x2 = 0 + -437
-23x + x2 = 0 + -437

Combine like terms: 0 + -437 = -437
-23x + x2 = -437

The x term is -23x.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23x + 132.25 + x2 = -437 + 132.25

Reorder the terms:
132.25 + -23x + x2 = -437 + 132.25

Combine like terms: -437 + 132.25 = -304.75
132.25 + -23x + x2 = -304.75

Factor a perfect square on the left side:
(x + -11.5)(x + -11.5) = -304.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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