15x^2-16x+5=0

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Solution for 15x^2-16x+5=0 equation:


Simplifying
15x2 + -16x + 5 = 0

Reorder the terms:
5 + -16x + 15x2 = 0

Solving
5 + -16x + 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'.
0.3333333333 + -1.066666667x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -1.066666667x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -1.066666667x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -1.066666667x + x2 = 0 + -0.3333333333
-1.066666667x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-1.066666667x + x2 = -0.3333333333

The x term is -1.066666667x.  Take half its coefficient (-0.5333333335).
Square it (0.2844444446) and add it to both sides.

Add '0.2844444446' to each side of the equation.
-1.066666667x + 0.2844444446 + x2 = -0.3333333333 + 0.2844444446

Reorder the terms:
0.2844444446 + -1.066666667x + x2 = -0.3333333333 + 0.2844444446

Combine like terms: -0.3333333333 + 0.2844444446 = -0.0488888887
0.2844444446 + -1.066666667x + x2 = -0.0488888887

Factor a perfect square on the left side:
(x + -0.5333333335)(x + -0.5333333335) = -0.0488888887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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