-3+2y=21y^2

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Solution for -3+2y=21y^2 equation:


Simplifying
-3 + 2y = 21y2

Solving
-3 + 2y = 21y2

Solving for variable 'y'.

Combine like terms: 21y2 + -21y2 = 0
-3 + 2y + -21y2 = 0

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

Divide each side by '-21'.
0.1428571429 + -0.09523809524y + y2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + -0.09523809524y + -0.1428571429 + y2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + -0.09523809524y + y2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + -0.09523809524y + y2 = 0 + -0.1428571429
-0.09523809524y + y2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
-0.09523809524y + y2 = -0.1428571429

The y term is -0.09523809524y.  Take half its coefficient (-0.04761904762).
Square it (0.002267573696) and add it to both sides.

Add '0.002267573696' to each side of the equation.
-0.09523809524y + 0.002267573696 + y2 = -0.1428571429 + 0.002267573696

Reorder the terms:
0.002267573696 + -0.09523809524y + y2 = -0.1428571429 + 0.002267573696

Combine like terms: -0.1428571429 + 0.002267573696 = -0.140589569204
0.002267573696 + -0.09523809524y + y2 = -0.140589569204

Factor a perfect square on the left side:
(y + -0.04761904762)(y + -0.04761904762) = -0.140589569204

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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