x^2-15x+441=0

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Solution for x^2-15x+441=0 equation:


Simplifying
x2 + -15x + 441 = 0

Reorder the terms:
441 + -15x + x2 = 0

Solving
441 + -15x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-441' to each side of the equation.
441 + -15x + -441 + x2 = 0 + -441

Reorder the terms:
441 + -441 + -15x + x2 = 0 + -441

Combine like terms: 441 + -441 = 0
0 + -15x + x2 = 0 + -441
-15x + x2 = 0 + -441

Combine like terms: 0 + -441 = -441
-15x + x2 = -441

The x term is -15x.  Take half its coefficient (-7.5).
Square it (56.25) and add it to both sides.

Add '56.25' to each side of the equation.
-15x + 56.25 + x2 = -441 + 56.25

Reorder the terms:
56.25 + -15x + x2 = -441 + 56.25

Combine like terms: -441 + 56.25 = -384.75
56.25 + -15x + x2 = -384.75

Factor a perfect square on the left side:
(x + -7.5)(x + -7.5) = -384.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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