4x^2-50x+625=0

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Solution for 4x^2-50x+625=0 equation:


Simplifying
4x2 + -50x + 625 = 0

Reorder the terms:
625 + -50x + 4x2 = 0

Solving
625 + -50x + 4x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
4 the coefficient of the squared term: 

Divide each side by '4'.
156.25 + -12.5x + x2 = 0

Move the constant term to the right:

Add '-156.25' to each side of the equation.
156.25 + -12.5x + -156.25 + x2 = 0 + -156.25

Reorder the terms:
156.25 + -156.25 + -12.5x + x2 = 0 + -156.25

Combine like terms: 156.25 + -156.25 = 0.00
0.00 + -12.5x + x2 = 0 + -156.25
-12.5x + x2 = 0 + -156.25

Combine like terms: 0 + -156.25 = -156.25
-12.5x + x2 = -156.25

The x term is -12.5x.  Take half its coefficient (-6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
-12.5x + 39.0625 + x2 = -156.25 + 39.0625

Reorder the terms:
39.0625 + -12.5x + x2 = -156.25 + 39.0625

Combine like terms: -156.25 + 39.0625 = -117.1875
39.0625 + -12.5x + x2 = -117.1875

Factor a perfect square on the left side:
(x + -6.25)(x + -6.25) = -117.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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