(27x^2)-10x+3=0

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Solution for (27x^2)-10x+3=0 equation:


Simplifying
(27x2) + -10x + 3 = 0

Reorder the terms:
3 + -10x + (27x2) = 0

Solving
3 + -10x + (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'.
0.1111111111 + -0.3703703704x + x2 = 0

Move the constant term to the right:

Add '-0.1111111111' to each side of the equation.
0.1111111111 + -0.3703703704x + -0.1111111111 + x2 = 0 + -0.1111111111

Reorder the terms:
0.1111111111 + -0.1111111111 + -0.3703703704x + x2 = 0 + -0.1111111111

Combine like terms: 0.1111111111 + -0.1111111111 = 0.0000000000
0.0000000000 + -0.3703703704x + x2 = 0 + -0.1111111111
-0.3703703704x + x2 = 0 + -0.1111111111

Combine like terms: 0 + -0.1111111111 = -0.1111111111
-0.3703703704x + x2 = -0.1111111111

The x term is -0.3703703704x.  Take half its coefficient (-0.1851851852).
Square it (0.03429355282) and add it to both sides.

Add '0.03429355282' to each side of the equation.
-0.3703703704x + 0.03429355282 + x2 = -0.1111111111 + 0.03429355282

Reorder the terms:
0.03429355282 + -0.3703703704x + x2 = -0.1111111111 + 0.03429355282

Combine like terms: -0.1111111111 + 0.03429355282 = -0.07681755828
0.03429355282 + -0.3703703704x + x2 = -0.07681755828

Factor a perfect square on the left side:
((x) + -0.1851851852)((x) + -0.1851851852) = -0.07681755828

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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