(4y^2+3y-5)-(4y-2y^2-9)=

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Solution for (4y^2+3y-5)-(4y-2y^2-9)= equation: 


Simplifying
(4y2 + 3y + -5) + -1(4y + -2y2 + -9) = 0

Reorder the terms:
(-5 + 3y + 4y2) + -1(4y + -2y2 + -9) = 0

Remove parenthesis around (-5 + 3y + 4y2)
-5 + 3y + 4y2 + -1(4y + -2y2 + -9) = 0

Reorder the terms:
-5 + 3y + 4y2 + -1(-9 + 4y + -2y2) = 0
-5 + 3y + 4y2 + (-9 * -1 + 4y * -1 + -2y2 * -1) = 0
-5 + 3y + 4y2 + (9 + -4y + 2y2) = 0

Reorder the terms:
-5 + 9 + 3y + -4y + 4y2 + 2y2 = 0

Combine like terms: -5 + 9 = 4
4 + 3y + -4y + 4y2 + 2y2 = 0

Combine like terms: 3y + -4y = -1y
4 + -1y + 4y2 + 2y2 = 0

Combine like terms: 4y2 + 2y2 = 6y2
4 + -1y + 6y2 = 0

Solving
4 + -1y + 6y2 = 0

Solving for variable 'y'.

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

Divide each side by '6'.
0.6666666667 + -0.1666666667y + y2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.1666666667y + -0.6666666667 + y2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.1666666667y + y2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.1666666667y + y2 = 0 + -0.6666666667
-0.1666666667y + y2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.1666666667y + y2 = -0.6666666667

The y term is -0.1666666667y.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667y + 0.006944444447 + y2 = -0.6666666667 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667y + y2 = -0.6666666667 + 0.006944444447

Combine like terms: -0.6666666667 + 0.006944444447 = -0.659722222253
0.006944444447 + -0.1666666667y + y2 = -0.659722222253

Factor a perfect square on the left side:
(y + -0.08333333335)(y + -0.08333333335) = -0.659722222253

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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