4x^2-24x+81=0

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Solution for 4x^2-24x+81=0 equation:


Simplifying
4x2 + -24x + 81 = 0

Reorder the terms:
81 + -24x + 4x2 = 0

Solving
81 + -24x + 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'.
20.25 + -6x + x2 = 0

Move the constant term to the right:

Add '-20.25' to each side of the equation.
20.25 + -6x + -20.25 + x2 = 0 + -20.25

Reorder the terms:
20.25 + -20.25 + -6x + x2 = 0 + -20.25

Combine like terms: 20.25 + -20.25 = 0.00
0.00 + -6x + x2 = 0 + -20.25
-6x + x2 = 0 + -20.25

Combine like terms: 0 + -20.25 = -20.25
-6x + x2 = -20.25

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -20.25 + 9

Reorder the terms:
9 + -6x + x2 = -20.25 + 9

Combine like terms: -20.25 + 9 = -11.25
9 + -6x + x2 = -11.25

Factor a perfect square on the left side:
(x + -3)(x + -3) = -11.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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