21y^2-5y+2=0

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Solution for 21y^2-5y+2=0 equation: 


Simplifying
21y2 + -5y + 2 = 0

Reorder the terms:
2 + -5y + 21y2 = 0

Solving
2 + -5y + 21y2 = 0

Solving for variable 'y'.

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

Divide each side by '21'.
0.09523809524 + -0.2380952381y + y2 = 0

Move the constant term to the right:

Add '-0.09523809524' to each side of the equation.
0.09523809524 + -0.2380952381y + -0.09523809524 + y2 = 0 + -0.09523809524

Reorder the terms:
0.09523809524 + -0.09523809524 + -0.2380952381y + y2 = 0 + -0.09523809524

Combine like terms: 0.09523809524 + -0.09523809524 = 0.00000000000
0.00000000000 + -0.2380952381y + y2 = 0 + -0.09523809524
-0.2380952381y + y2 = 0 + -0.09523809524

Combine like terms: 0 + -0.09523809524 = -0.09523809524
-0.2380952381y + y2 = -0.09523809524

The y term is -0.2380952381y.  Take half its coefficient (-0.1190476191).
Square it (0.01417233561) and add it to both sides.

Add '0.01417233561' to each side of the equation.
-0.2380952381y + 0.01417233561 + y2 = -0.09523809524 + 0.01417233561

Reorder the terms:
0.01417233561 + -0.2380952381y + y2 = -0.09523809524 + 0.01417233561

Combine like terms: -0.09523809524 + 0.01417233561 = -0.08106575963
0.01417233561 + -0.2380952381y + y2 = -0.08106575963

Factor a perfect square on the left side:
(y + -0.1190476191)(y + -0.1190476191) = -0.08106575963

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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