x^2-21x+196=0

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Solution for x^2-21x+196=0 equation:


Simplifying
x2 + -21x + 196 = 0

Reorder the terms:
196 + -21x + x2 = 0

Solving
196 + -21x + 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 + -21x + -196 + x2 = 0 + -196

Reorder the terms:
196 + -196 + -21x + x2 = 0 + -196

Combine like terms: 196 + -196 = 0
0 + -21x + x2 = 0 + -196
-21x + x2 = 0 + -196

Combine like terms: 0 + -196 = -196
-21x + x2 = -196

The x term is -21x.  Take half its coefficient (-10.5).
Square it (110.25) and add it to both sides.

Add '110.25' to each side of the equation.
-21x + 110.25 + x2 = -196 + 110.25

Reorder the terms:
110.25 + -21x + x2 = -196 + 110.25

Combine like terms: -196 + 110.25 = -85.75
110.25 + -21x + x2 = -85.75

Factor a perfect square on the left side:
(x + -10.5)(x + -10.5) = -85.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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