x^2-25x+196=0

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Solution for x^2-25x+196=0 equation:


Simplifying
x2 + -25x + 196 = 0

Reorder the terms:
196 + -25x + x2 = 0

Solving
196 + -25x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-196' to each side of the equation.
196 + -25x + -196 + x2 = 0 + -196

Reorder the terms:
196 + -196 + -25x + x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -25x + x2 = 0 + -196
-25x + x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-25x + x2 = -196

The x term is -25x.  Take half its coefficient (-12.5).
Square it (156.25) and add it to both sides.

Add '156.25' to each side of the equation.
-25x + 156.25 + x2 = -196 + 156.25

Reorder the terms:
156.25 + -25x + x2 = -196 + 156.25

Combine like terms: -196 + 156.25 = -39.75
156.25 + -25x + x2 = -39.75

Factor a perfect square on the left side:
(x + -12.5)(x + -12.5) = -39.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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