Find the x and y Intercepts (x+2)(y+3)=0

$(x + 2) (y + 3) = 0$

Find the x-intercepts.

To find the x-intercept(s), substitute in $0$ for $y$ and solve for $x$ .

$(x + 2) ((0) + 3) = 0$

Solve the equation.

Add $0$ and $3$ .

$(x + 2) \cdot 3 = 0$

Divide each term in $((x + 2) \cdot 3) = 0$ by $3$ and simplify.

Divide each term in $((x + 2) \cdot 3) = 0$ by $3$ .

$\frac{((x + 2) \cdot 3)}{3} = \frac{0}{3}$

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{(x + 2) \cdot 3}{3} = \frac{0}{3}$

Divide $x + 2$ by $1$ .

$x + 2 = \frac{0}{3}$

Simplify the right side.

Divide $0$ by $3$ .

$x + 2 = 0$

Subtract $2$ from both sides of the equation.

$x = - 2$

x-intercept(s) in point form.

x-intercept(s): $(- 2, 0)$

Find the y-intercepts.

To find the y-intercept(s), substitute in $0$ for $x$ and solve for $y$ .

$((0) + 2) (y + 3) = 0$

Solve the equation.

Add $0$ and $2$ .

$2 (y + 3) = 0$

Divide each term in $2 (y + 3) = 0$ by $2$ and simplify.

Divide each term in $2 (y + 3) = 0$ by $2$ .

$\frac{2 (y + 3)}{2} = \frac{0}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 (y + 3)}{2} = \frac{0}{2}$

Divide $y + 3$ by $1$ .

$y + 3 = \frac{0}{2}$

Simplify the right side.

Divide $0$ by $2$ .

$y + 3 = 0$

Subtract $3$ from both sides of the equation.

$y = - 3$

y-intercept(s) in point form.

y-intercept(s): $(0, - 3)$

List the intersections.

x-intercept(s): $(- 2, 0)$

y-intercept(s): $(0, - 3)$

Find the x and y Intercepts (x+2)(y+3)=0

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