y(x^2-4)=5

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Solution for y(x^2-4)=5 equation: 


Simplifying
y(x2 + -4) = 5

Reorder the terms:
y(-4 + x2) = 5
(-4 * y + x2 * y) = 5

Reorder the terms:
(x2y + -4y) = 5
(x2y + -4y) = 5

Solving
x2y + -4y = 5

Solving for variable 'x'.

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

Add '4y' to each side of the equation.
x2y + -4y + 4y = 5 + 4y

Combine like terms: -4y + 4y = 0
x2y + 0 = 5 + 4y
x2y = 5 + 4y

Divide each side by 'y'.
x2 = 5y-1 + 4

Simplifying
x2 = 5y-1 + 4

Reorder the terms:
x2 = 4 + 5y-1

Reorder the terms:
-4 + x2 + -5y-1 = 4 + 5y-1 + -4 + -5y-1

Reorder the terms:
-4 + x2 + -5y-1 = 4 + -4 + 5y-1 + -5y-1

Combine like terms: 4 + -4 = 0
-4 + x2 + -5y-1 = 0 + 5y-1 + -5y-1
-4 + x2 + -5y-1 = 5y-1 + -5y-1

Combine like terms: 5y-1 + -5y-1 = 0
-4 + x2 + -5y-1 = 0

The solution to this equation could not be determined.

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