(-3y^2+7y-2)-(-9y^2+4y-4)=

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Solution for (-3y^2+7y-2)-(-9y^2+4y-4)= equation: 


Simplifying
(-3y2 + 7y + -2) + -1(-9y2 + 4y + -4) = 0

Reorder the terms:
(-2 + 7y + -3y2) + -1(-9y2 + 4y + -4) = 0

Remove parenthesis around (-2 + 7y + -3y2)
-2 + 7y + -3y2 + -1(-9y2 + 4y + -4) = 0

Reorder the terms:
-2 + 7y + -3y2 + -1(-4 + 4y + -9y2) = 0
-2 + 7y + -3y2 + (-4 * -1 + 4y * -1 + -9y2 * -1) = 0
-2 + 7y + -3y2 + (4 + -4y + 9y2) = 0

Reorder the terms:
-2 + 4 + 7y + -4y + -3y2 + 9y2 = 0

Combine like terms: -2 + 4 = 2
2 + 7y + -4y + -3y2 + 9y2 = 0

Combine like terms: 7y + -4y = 3y
2 + 3y + -3y2 + 9y2 = 0

Combine like terms: -3y2 + 9y2 = 6y2
2 + 3y + 6y2 = 0

Solving
2 + 3y + 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'.
0.3333333333 + 0.5y + y2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.5y + -0.3333333333 + y2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.5y + y2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.5y + y2 = 0 + -0.3333333333
0.5y + y2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.5y + y2 = -0.3333333333

The y term is 0.5y.  Take half its coefficient (0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
0.5y + 0.0625 + y2 = -0.3333333333 + 0.0625

Reorder the terms:
0.0625 + 0.5y + y2 = -0.3333333333 + 0.0625

Combine like terms: -0.3333333333 + 0.0625 = -0.2708333333
0.0625 + 0.5y + y2 = -0.2708333333

Factor a perfect square on the left side:
(y + 0.25)(y + 0.25) = -0.2708333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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