Find All Complex Solutions (x+5)/(y-3)=0

$\frac{(x + 5)}{(y - 3)} = 0$

Step 1

Multiply each term in $\frac{(x + 5)}{(y - 3)} = 0$ by $y - 3$ to eliminate the fractions.

Multiply each term in $\frac{(x + 5)}{(y - 3)} = 0$ by $y - 3$ .

$\frac{(x + 5)}{(y - 3)} (y - 3) = 0 (y - 3)$

Simplify the left side.

Cancel the common factor of $y - 3$ .

Cancel the common factor.

$\frac{x + 5}{y - 3} (y - 3) = 0 (y - 3)$

Rewrite the expression.

$x + 5 = 0 (y - 3)$

Simplify the right side.

Multiply $0$ by $y - 3$ .

$x + 5 = 0$

Step 2

Subtract $5$ from both sides of the equation.

$x = - 5$