x^2-51x+756=0

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Solution for x^2-51x+756=0 equation:


Simplifying
x2 + -51x + 756 = 0

Reorder the terms:
756 + -51x + x2 = 0

Solving
756 + -51x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-756' to each side of the equation.
756 + -51x + -756 + x2 = 0 + -756

Reorder the terms:
756 + -756 + -51x + x2 = 0 + -756

Combine like terms: 756 + -756 = 0
0 + -51x + x2 = 0 + -756
-51x + x2 = 0 + -756

Combine like terms: 0 + -756 = -756
-51x + x2 = -756

The x term is -51x.  Take half its coefficient (-25.5).
Square it (650.25) and add it to both sides.

Add '650.25' to each side of the equation.
-51x + 650.25 + x2 = -756 + 650.25

Reorder the terms:
650.25 + -51x + x2 = -756 + 650.25

Combine like terms: -756 + 650.25 = -105.75
650.25 + -51x + x2 = -105.75

Factor a perfect square on the left side:
(x + -25.5)(x + -25.5) = -105.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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