22x^2-15x+5=0

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Solution for 22x^2-15x+5=0 equation:


Simplifying
22x2 + -15x + 5 = 0

Reorder the terms:
5 + -15x + 22x2 = 0

Solving
5 + -15x + 22x2 = 0

Solving for variable 'x'.

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

Divide each side by '22'.
0.2272727273 + -0.6818181818x + x2 = 0

Move the constant term to the right:

Add '-0.2272727273' to each side of the equation.
0.2272727273 + -0.6818181818x + -0.2272727273 + x2 = 0 + -0.2272727273

Reorder the terms:
0.2272727273 + -0.2272727273 + -0.6818181818x + x2 = 0 + -0.2272727273

Combine like terms: 0.2272727273 + -0.2272727273 = 0.0000000000
0.0000000000 + -0.6818181818x + x2 = 0 + -0.2272727273
-0.6818181818x + x2 = 0 + -0.2272727273

Combine like terms: 0 + -0.2272727273 = -0.2272727273
-0.6818181818x + x2 = -0.2272727273

The x term is -0.6818181818x.  Take half its coefficient (-0.3409090909).
Square it (0.1162190083) and add it to both sides.

Add '0.1162190083' to each side of the equation.
-0.6818181818x + 0.1162190083 + x2 = -0.2272727273 + 0.1162190083

Reorder the terms:
0.1162190083 + -0.6818181818x + x2 = -0.2272727273 + 0.1162190083

Combine like terms: -0.2272727273 + 0.1162190083 = -0.111053719
0.1162190083 + -0.6818181818x + x2 = -0.111053719

Factor a perfect square on the left side:
(x + -0.3409090909)(x + -0.3409090909) = -0.111053719

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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