14x^2-11x+15=0

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Solution for 14x^2-11x+15=0 equation: 


Simplifying
14x2 + -11x + 15 = 0

Reorder the terms:
15 + -11x + 14x2 = 0

Solving
15 + -11x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
1.071428571 + -0.7857142857x + x2 = 0

Move the constant term to the right:

Add '-1.071428571' to each side of the equation.
1.071428571 + -0.7857142857x + -1.071428571 + x2 = 0 + -1.071428571

Reorder the terms:
1.071428571 + -1.071428571 + -0.7857142857x + x2 = 0 + -1.071428571

Combine like terms: 1.071428571 + -1.071428571 = 0.000000000
0.000000000 + -0.7857142857x + x2 = 0 + -1.071428571
-0.7857142857x + x2 = 0 + -1.071428571

Combine like terms: 0 + -1.071428571 = -1.071428571
-0.7857142857x + x2 = -1.071428571

The x term is -0.7857142857x.  Take half its coefficient (-0.3928571429).
Square it (0.1543367347) and add it to both sides.

Add '0.1543367347' to each side of the equation.
-0.7857142857x + 0.1543367347 + x2 = -1.071428571 + 0.1543367347

Reorder the terms:
0.1543367347 + -0.7857142857x + x2 = -1.071428571 + 0.1543367347

Combine like terms: -1.071428571 + 0.1543367347 = -0.9170918363
0.1543367347 + -0.7857142857x + x2 = -0.9170918363

Factor a perfect square on the left side:
(x + -0.3928571429)(x + -0.3928571429) = -0.9170918363

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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