15x^2-11x+7=0

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Solution for 15x^2-11x+7=0 equation: 


Simplifying
15x2 + -11x + 7 = 0

Reorder the terms:
7 + -11x + 15x2 = 0

Solving
7 + -11x + 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 + -0.7333333333x + x2 = 0

Move the constant term to the right:

Add '-0.4666666667' to each side of the equation.
0.4666666667 + -0.7333333333x + -0.4666666667 + x2 = 0 + -0.4666666667

Reorder the terms:
0.4666666667 + -0.4666666667 + -0.7333333333x + x2 = 0 + -0.4666666667

Combine like terms: 0.4666666667 + -0.4666666667 = 0.0000000000
0.0000000000 + -0.7333333333x + x2 = 0 + -0.4666666667
-0.7333333333x + x2 = 0 + -0.4666666667

Combine like terms: 0 + -0.4666666667 = -0.4666666667
-0.7333333333x + x2 = -0.4666666667

The x term is -0.7333333333x.  Take half its coefficient (-0.3666666667).
Square it (0.1344444445) and add it to both sides.

Add '0.1344444445' to each side of the equation.
-0.7333333333x + 0.1344444445 + x2 = -0.4666666667 + 0.1344444445

Reorder the terms:
0.1344444445 + -0.7333333333x + x2 = -0.4666666667 + 0.1344444445

Combine like terms: -0.4666666667 + 0.1344444445 = -0.3322222222
0.1344444445 + -0.7333333333x + x2 = -0.3322222222

Factor a perfect square on the left side:
(x + -0.3666666667)(x + -0.3666666667) = -0.3322222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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