15x^2-4x+7=0

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Solution for 15x^2-4x+7=0 equation: 


Simplifying
15x2 + -4x + 7 = 0

Reorder the terms:
7 + -4x + 15x2 = 0

Solving
7 + -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'.
0.4666666667 + -0.2666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.2666666667x + -0.4666666667 + x2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + -0.2666666667x + x2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + -0.2666666667x + x2 = 0 + -0.4666666667
-0.2666666667x + x2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
-0.2666666667x + x2 = -0.4666666667

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 = -0.4666666667 + 0.01777777780

Reorder the terms:
0.01777777780 + -0.2666666667x + x2 = -0.4666666667 + 0.01777777780

Combine like terms: -0.4666666667 + 0.01777777780 = -0.4488888889
0.01777777780 + -0.2666666667x + x2 = -0.4488888889

Factor a perfect square on the left side:
(x + -0.1333333334)(x + -0.1333333334) = -0.4488888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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