10y-y(10y+y)=28

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Solution for 10y-y(10y+y)=28 equation: 


Simplifying
10y + -1y(10y + y) = 28

Combine like terms: 10y + y = 11y
10y + -1y(11y) = 28

Remove parenthesis around (11y)
10y + -1y * 11y = 28

Reorder the terms for easier multiplication:
10y + -1 * 11y * y = 28

Multiply -1 * 11
10y + -11y * y = 28

Multiply y * y
10y + -11y2 = 28

Solving
10y + -11y2 = 28

Solving for variable 'y'.

Reorder the terms:
-28 + 10y + -11y2 = 28 + -28

Combine like terms: 28 + -28 = 0
-28 + 10y + -11y2 = 0

Begin completing the square.  Divide all terms by
-11 the coefficient of the squared term: 

Divide each side by '-11'.
2.545454545 + -0.9090909091y + y2 = 0

Move the constant term to the right:

Add '-2.545454545' to each side of the equation.
2.545454545 + -0.9090909091y + -2.545454545 + y2 = 0 + -2.545454545

Reorder the terms:
2.545454545 + -2.545454545 + -0.9090909091y + y2 = 0 + -2.545454545

Combine like terms: 2.545454545 + -2.545454545 = 0.000000000
0.000000000 + -0.9090909091y + y2 = 0 + -2.545454545
-0.9090909091y + y2 = 0 + -2.545454545

Combine like terms: 0 + -2.545454545 = -2.545454545
-0.9090909091y + y2 = -2.545454545

The y term is -0.9090909091y.  Take half its coefficient (-0.4545454546).
Square it (0.2066115703) and add it to both sides.

Add '0.2066115703' to each side of the equation.
-0.9090909091y + 0.2066115703 + y2 = -2.545454545 + 0.2066115703

Reorder the terms:
0.2066115703 + -0.9090909091y + y2 = -2.545454545 + 0.2066115703

Combine like terms: -2.545454545 + 0.2066115703 = -2.3388429747
0.2066115703 + -0.9090909091y + y2 = -2.3388429747

Factor a perfect square on the left side:
(y + -0.4545454546)(y + -0.4545454546) = -2.3388429747

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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