x^2-36x+729=0

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Solution for x^2-36x+729=0 equation:


Simplifying
x2 + -36x + 729 = 0

Reorder the terms:
729 + -36x + x2 = 0

Solving
729 + -36x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-729' to each side of the equation.
729 + -36x + -729 + x2 = 0 + -729

Reorder the terms:
729 + -729 + -36x + x2 = 0 + -729

Combine like terms: 729 + -729 = 0
0 + -36x + x2 = 0 + -729
-36x + x2 = 0 + -729

Combine like terms: 0 + -729 = -729
-36x + x2 = -729

The x term is -36x.  Take half its coefficient (-18).
Square it (324) and add it to both sides.

Add '324' to each side of the equation.
-36x + 324 + x2 = -729 + 324

Reorder the terms:
324 + -36x + x2 = -729 + 324

Combine like terms: -729 + 324 = -405
324 + -36x + x2 = -405

Factor a perfect square on the left side:
(x + -18)(x + -18) = -405

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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