y(x^2+3)-6(x^2+3)=0

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Solution for y(x^2+3)-6(x^2+3)=0 equation:


Simplifying
y(x2 + 3) + -6(x2 + 3) = 0

Reorder the terms:
y(3 + x2) + -6(x2 + 3) = 0
(3 * y + x2 * y) + -6(x2 + 3) = 0

Reorder the terms:
(x2y + 3y) + -6(x2 + 3) = 0
(x2y + 3y) + -6(x2 + 3) = 0

Reorder the terms:
x2y + 3y + -6(3 + x2) = 0
x2y + 3y + (3 * -6 + x2 * -6) = 0
x2y + 3y + (-18 + -6x2) = 0

Reorder the terms:
-18 + -6x2 + x2y + 3y = 0

Solving
-18 + -6x2 + x2y + 3y = 0

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + -6x2 + x2y + 18 + 3y = 0 + 18

Reorder the terms:
-18 + 18 + -6x2 + x2y + 3y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -6x2 + x2y + 3y = 0 + 18
-6x2 + x2y + 3y = 0 + 18

Combine like terms: 0 + 18 = 18
-6x2 + x2y + 3y = 18

Add '-3y' to each side of the equation.
-6x2 + x2y + 3y + -3y = 18 + -3y

Combine like terms: 3y + -3y = 0
-6x2 + x2y + 0 = 18 + -3y
-6x2 + x2y = 18 + -3y

Reorder the terms:
-18 + -6x2 + x2y + 3y = 18 + -3y + -18 + 3y

Reorder the terms:
-18 + -6x2 + x2y + 3y = 18 + -18 + -3y + 3y

Combine like terms: 18 + -18 = 0
-18 + -6x2 + x2y + 3y = 0 + -3y + 3y
-18 + -6x2 + x2y + 3y = -3y + 3y

Combine like terms: -3y + 3y = 0
-18 + -6x2 + x2y + 3y = 0

The solution to this equation could not be determined.

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