18x^2-13x+3=0

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Solution for 18x^2-13x+3=0 equation:


Simplifying
18x2 + -13x + 3 = 0

Reorder the terms:
3 + -13x + 18x2 = 0

Solving
3 + -13x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
0.1666666667 + -0.7222222222x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.7222222222x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.7222222222x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.7222222222x + x2 = 0 + -0.1666666667
-0.7222222222x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.7222222222x + x2 = -0.1666666667

The x term is -0.7222222222x.  Take half its coefficient (-0.3611111111).
Square it (0.1304012346) and add it to both sides.

Add '0.1304012346' to each side of the equation.
-0.7222222222x + 0.1304012346 + x2 = -0.1666666667 + 0.1304012346

Reorder the terms:
0.1304012346 + -0.7222222222x + x2 = -0.1666666667 + 0.1304012346

Combine like terms: -0.1666666667 + 0.1304012346 = -0.0362654321
0.1304012346 + -0.7222222222x + x2 = -0.0362654321

Factor a perfect square on the left side:
(x + -0.3611111111)(x + -0.3611111111) = -0.0362654321

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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