3(2(-y^2+y)-3)-3(2x+y)=0

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Solution for 3(2(-y^2+y)-3)-3(2x+y)=0 equation:


Simplifying
3(2(-1y2 + y) + -3) + -3(2x + y) = 0

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

Reorder the terms:
3(-3 + 2y + -2y2) + -3(2x + y) = 0
(-3 * 3 + 2y * 3 + -2y2 * 3) + -3(2x + y) = 0
(-9 + 6y + -6y2) + -3(2x + y) = 0
-9 + 6y + -6y2 + (2x * -3 + y * -3) = 0
-9 + 6y + -6y2 + (-6x + -3y) = 0

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

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

Solving
-9 + -6x + 3y + -6y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + -6x + 3y + 9 + -6y2 = 0 + 9

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

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

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

Add '-3y' to each side of the equation.
-6x + 3y + -3y + -6y2 = 9 + -3y

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

Add '6y2' to each side of the equation.
-6x + -6y2 + 6y2 = 9 + -3y + 6y2

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

Divide each side by '-6'.
x = -1.5 + 0.5y + -1y2

Simplifying
x = -1.5 + 0.5y + -1y2

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