27x^2-3x+4=0

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Solution for 27x^2-3x+4=0 equation: 


Simplifying
27x2 + -3x + 4 = 0

Reorder the terms:
4 + -3x + 27x2 = 0

Solving
4 + -3x + 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'.
0.1481481481 + -0.1111111111x + x2 = 0

Move the constant term to the right:

Add '-0.1481481481' to each side of the equation.
0.1481481481 + -0.1111111111x + -0.1481481481 + x2 = 0 + -0.1481481481

Reorder the terms:
0.1481481481 + -0.1481481481 + -0.1111111111x + x2 = 0 + -0.1481481481

Combine like terms: 0.1481481481 + -0.1481481481 = 0.0000000000
0.0000000000 + -0.1111111111x + x2 = 0 + -0.1481481481
-0.1111111111x + x2 = 0 + -0.1481481481

Combine like terms: 0 + -0.1481481481 = -0.1481481481
-0.1111111111x + x2 = -0.1481481481

The x term is -0.1111111111x.  Take half its coefficient (-0.05555555555).
Square it (0.003086419752) and add it to both sides.

Add '0.003086419752' to each side of the equation.
-0.1111111111x + 0.003086419752 + x2 = -0.1481481481 + 0.003086419752

Reorder the terms:
0.003086419752 + -0.1111111111x + x2 = -0.1481481481 + 0.003086419752

Combine like terms: -0.1481481481 + 0.003086419752 = -0.145061728348
0.003086419752 + -0.1111111111x + x2 = -0.145061728348

Factor a perfect square on the left side:
(x + -0.05555555555)(x + -0.05555555555) = -0.145061728348

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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