10x^2-54x+81=0

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Solution for 10x^2-54x+81=0 equation:


Simplifying
10x2 + -54x + 81 = 0

Reorder the terms:
81 + -54x + 10x2 = 0

Solving
81 + -54x + 10x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
10 the coefficient of the squared term: 

Divide each side by '10'.
8.1 + -5.4x + x2 = 0

Move the constant term to the right:

Add '-8.1' to each side of the equation.
8.1 + -5.4x + -8.1 + x2 = 0 + -8.1

Reorder the terms:
8.1 + -8.1 + -5.4x + x2 = 0 + -8.1

Combine like terms: 8.1 + -8.1 = 0.0
0.0 + -5.4x + x2 = 0 + -8.1
-5.4x + x2 = 0 + -8.1

Combine like terms: 0 + -8.1 = -8.1
-5.4x + x2 = -8.1

The x term is -5.4x.  Take half its coefficient (-2.7).
Square it (7.29) and add it to both sides.

Add '7.29' to each side of the equation.
-5.4x + 7.29 + x2 = -8.1 + 7.29

Reorder the terms:
7.29 + -5.4x + x2 = -8.1 + 7.29

Combine like terms: -8.1 + 7.29 = -0.81
7.29 + -5.4x + x2 = -0.81

Factor a perfect square on the left side:
(x + -2.7)(x + -2.7) = -0.81

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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