Find the Roots (Zeros) F(x)=(5(x+2))/(3(x-1)(x+7))

$F (x) = \frac{5 (x + 2)}{3 (x - 1) (x + 7)}$

Step 1

Set $\frac{5 (x + 2)}{3 (x - 1) (x + 7)}$ equal to $0$ .

$\frac{5 (x + 2)}{3 (x - 1) (x + 7)} = 0$

Step 2

Solve for $x$ .

Set the numerator equal to zero.

$5 (x + 2) = 0$

Solve the equation for $x$ .

Divide each term in $5 (x + 2) = 0$ by $5$ and simplify.

Divide each term in $5 (x + 2) = 0$ by $5$ .

$\frac{5 (x + 2)}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 (x + 2)}{5} = \frac{0}{5}$

Divide $x + 2$ by $1$ .

$x + 2 = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$x + 2 = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

Step 3