(27x^2)-177x+398=0

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Solution for (27x^2)-177x+398=0 equation: 


Simplifying
(27x2) + -177x + 398 = 0

Reorder the terms:
398 + -177x + (27x2) = 0

Solving
398 + -177x + (27x2) = 0

Solving for variable 'x'.

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

Divide each side by '27'.
14.74074074 + -6.555555556x + x2 = 0

Move the constant term to the right:

Add '-14.74074074' to each side of the equation.
14.74074074 + -6.555555556x + -14.74074074 + x2 = 0 + -14.74074074

Reorder the terms:
14.74074074 + -14.74074074 + -6.555555556x + x2 = 0 + -14.74074074

Combine like terms: 14.74074074 + -14.74074074 = 0.00000000
0.00000000 + -6.555555556x + x2 = 0 + -14.74074074
-6.555555556x + x2 = 0 + -14.74074074

Combine like terms: 0 + -14.74074074 = -14.74074074
-6.555555556x + x2 = -14.74074074

The x term is -6.555555556x.  Take half its coefficient (-3.277777778).
Square it (10.74382716) and add it to both sides.

Add '10.74382716' to each side of the equation.
-6.555555556x + 10.74382716 + x2 = -14.74074074 + 10.74382716

Reorder the terms:
10.74382716 + -6.555555556x + x2 = -14.74074074 + 10.74382716

Combine like terms: -14.74074074 + 10.74382716 = -3.99691358
10.74382716 + -6.555555556x + x2 = -3.99691358

Factor a perfect square on the left side:
((x) + -3.277777778)((x) + -3.277777778) = -3.99691358

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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