15x^2-4x+2=0

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Solution for 15x^2-4x+2=0 equation:


Simplifying
15x2 + -4x + 2 = 0

Reorder the terms:
2 + -4x + 15x2 = 0

Solving
2 + -4x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.1333333333 + -0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + -0.2666666667x + -0.1333333333 + x2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + -0.2666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + -0.2666666667x + x2 = 0 + -0.1333333333
-0.2666666667x + x2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
-0.2666666667x + x2 = -0.1333333333

The x term is -0.2666666667x.  Take half its coefficient (-0.1333333334).
Square it (0.01777777780) and add it to both sides.

Add '0.01777777780' to each side of the equation.
-0.2666666667x + 0.01777777780 + x2 = -0.1333333333 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x + x2 = -0.1333333333 + 0.01777777780

Combine like terms: -0.1333333333 + 0.01777777780 = -0.1155555555
0.01777777780 + -0.2666666667x + x2 = -0.1155555555

Factor a perfect square on the left side:
(x + -0.1333333334)(x + -0.1333333334) = -0.1155555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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