5y^2+490.54=(10y+21.33)

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Solution for 5y^2+490.54=(10y+21.33) equation: 


Simplifying
5y2 + 490.54 = (10y + 21.33)

Reorder the terms:
490.54 + 5y2 = (10y + 21.33)

Reorder the terms:
490.54 + 5y2 = (21.33 + 10y)

Remove parenthesis around (21.33 + 10y)
490.54 + 5y2 = 21.33 + 10y

Solving
490.54 + 5y2 = 21.33 + 10y

Solving for variable 'y'.

Reorder the terms:
490.54 + -21.33 + -10y + 5y2 = 21.33 + 10y + -21.33 + -10y

Combine like terms: 490.54 + -21.33 = 469.21
469.21 + -10y + 5y2 = 21.33 + 10y + -21.33 + -10y

Reorder the terms:
469.21 + -10y + 5y2 = 21.33 + -21.33 + 10y + -10y

Combine like terms: 21.33 + -21.33 = 0.00
469.21 + -10y + 5y2 = 0.00 + 10y + -10y
469.21 + -10y + 5y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
469.21 + -10y + 5y2 = 0

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

Divide each side by '5'.
93.842 + -2y + y2 = 0

Move the constant term to the right:

Add '-93.842' to each side of the equation.
93.842 + -2y + -93.842 + y2 = 0 + -93.842

Reorder the terms:
93.842 + -93.842 + -2y + y2 = 0 + -93.842

Combine like terms: 93.842 + -93.842 = 0.000
0.000 + -2y + y2 = 0 + -93.842
-2y + y2 = 0 + -93.842

Combine like terms: 0 + -93.842 = -93.842
-2y + y2 = -93.842

The y term is -2y.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2y + 1 + y2 = -93.842 + 1

Reorder the terms:
1 + -2y + y2 = -93.842 + 1

Combine like terms: -93.842 + 1 = -92.842
1 + -2y + y2 = -92.842

Factor a perfect square on the left side:
(y + -1)(y + -1) = -92.842

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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