Solve 24x/x^2-36-4/x+6=24/x^2-36

$$\frac { 24 x } { x ^ { 2 } - 36 } - \frac { 4 } { x + 6 } = \frac { 24 } { x ^ { 2 } - 36 }$$

Solve for x

$$x=0$$

Steps for Solving Linear Equation

Variable x cannot be equal to any of the values -6,6 since division by zero is not defined. Multiply both sides of the equation by \left(x-6\right)\left(x+6\right), the least common multiple of x^{2}-36,x+6.

$$24x-\left(x-6\right)\times 4=24$$

Use the distributive property to multiply x-6 by 4.

$$24x-\left(4x-24\right)=24$$

To find the opposite of 4x-24, find the opposite of each term.

$$24x-4x+24=24$$

Combine 24x and -4x to get 20x.

$$20x+24=24$$

Subtract 24 from both sides.

$$20x=24-24$$

Subtract 24 from 24 to get 0.

$$20x=0$$

Product of two numbers is equal to 0 if at least one of them is 0. Since 20 is not equal to 0, x must be equal to 0.

$$x=0$$