4x^2-54x+729=0

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Solution for 4x^2-54x+729=0 equation:


Simplifying
4x2 + -54x + 729 = 0

Reorder the terms:
729 + -54x + 4x2 = 0

Solving
729 + -54x + 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'.
182.25 + -13.5x + x2 = 0

Move the constant term to the right:

Add '-182.25' to each side of the equation.
182.25 + -13.5x + -182.25 + x2 = 0 + -182.25

Reorder the terms:
182.25 + -182.25 + -13.5x + x2 = 0 + -182.25

Combine like terms: 182.25 + -182.25 = 0.00
0.00 + -13.5x + x2 = 0 + -182.25
-13.5x + x2 = 0 + -182.25

Combine like terms: 0 + -182.25 = -182.25
-13.5x + x2 = -182.25

The x term is -13.5x.  Take half its coefficient (-6.75).
Square it (45.5625) and add it to both sides.

Add '45.5625' to each side of the equation.
-13.5x + 45.5625 + x2 = -182.25 + 45.5625

Reorder the terms:
45.5625 + -13.5x + x2 = -182.25 + 45.5625

Combine like terms: -182.25 + 45.5625 = -136.6875
45.5625 + -13.5x + x2 = -136.6875

Factor a perfect square on the left side:
(x + -6.75)(x + -6.75) = -136.6875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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