(-6y^2+3y-4)-(9y^2-3y)=

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Solution for (-6y^2+3y-4)-(9y^2-3y)= equation: 


Simplifying
(-6y2 + 3y + -4) + -1(9y2 + -3y) = 0

Reorder the terms:
(-4 + 3y + -6y2) + -1(9y2 + -3y) = 0

Remove parenthesis around (-4 + 3y + -6y2)
-4 + 3y + -6y2 + -1(9y2 + -3y) = 0

Reorder the terms:
-4 + 3y + -6y2 + -1(-3y + 9y2) = 0
-4 + 3y + -6y2 + (-3y * -1 + 9y2 * -1) = 0
-4 + 3y + -6y2 + (3y + -9y2) = 0

Reorder the terms:
-4 + 3y + 3y + -6y2 + -9y2 = 0

Combine like terms: 3y + 3y = 6y
-4 + 6y + -6y2 + -9y2 = 0

Combine like terms: -6y2 + -9y2 = -15y2
-4 + 6y + -15y2 = 0

Solving
-4 + 6y + -15y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
-15 the coefficient of the squared term: 

Divide each side by '-15'.
0.2666666667 + -0.4y + y2 = 0

Move the constant term to the right:

Add '-0.2666666667' to each side of the equation.
0.2666666667 + -0.4y + -0.2666666667 + y2 = 0 + -0.2666666667

Reorder the terms:
0.2666666667 + -0.2666666667 + -0.4y + y2 = 0 + -0.2666666667

Combine like terms: 0.2666666667 + -0.2666666667 = 0.0000000000
0.0000000000 + -0.4y + y2 = 0 + -0.2666666667
-0.4y + y2 = 0 + -0.2666666667

Combine like terms: 0 + -0.2666666667 = -0.2666666667
-0.4y + y2 = -0.2666666667

The y term is -0.4y.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4y + 0.04 + y2 = -0.2666666667 + 0.04

Reorder the terms:
0.04 + -0.4y + y2 = -0.2666666667 + 0.04

Combine like terms: -0.2666666667 + 0.04 = -0.2266666667
0.04 + -0.4y + y2 = -0.2266666667

Factor a perfect square on the left side:
(y + -0.2)(y + -0.2) = -0.2266666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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