0.75y-y(3y+4)=2

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Solution for 0.75y-y(3y+4)=2 equation: 


Simplifying
0.75y + -1y(3y + 4) = 2

Reorder the terms:
0.75y + -1y(4 + 3y) = 2
0.75y + (4 * -1y + 3y * -1y) = 2
0.75y + (-4y + -3y2) = 2

Combine like terms: 0.75y + -4y = -3.25y
-3.25y + -3y2 = 2

Solving
-3.25y + -3y2 = 2

Solving for variable 'y'.

Reorder the terms:
-2 + -3.25y + -3y2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -3.25y + -3y2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.6666666667 + 1.083333333y + y2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 1.083333333y + -0.6666666667 + y2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 1.083333333y + y2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 1.083333333y + y2 = 0 + -0.6666666667
1.083333333y + y2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
1.083333333y + y2 = -0.6666666667

The y term is 1.083333333y.  Take half its coefficient (0.5416666665).
Square it (0.2934027776) and add it to both sides.

Add '0.2934027776' to each side of the equation.
1.083333333y + 0.2934027776 + y2 = -0.6666666667 + 0.2934027776

Reorder the terms:
0.2934027776 + 1.083333333y + y2 = -0.6666666667 + 0.2934027776

Combine like terms: -0.6666666667 + 0.2934027776 = -0.3732638891
0.2934027776 + 1.083333333y + y2 = -0.3732638891

Factor a perfect square on the left side:
(y + 0.5416666665)(y + 0.5416666665) = -0.3732638891

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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