Solve for m (m+2)(m+3)=(m+2)(m-2)

$(m + 2) (m + 3) = (m + 2) (m - 2)$

Simplify $(m + 2) (m + 3)$ .

Start simplifying.

$0 + 0 + (m + 2) (m + 3) = (m + 2) (m - 2)$

Simplify by adding zeros.

$(m + 2) (m + 3) = (m + 2) (m - 2)$

Expand $(m + 2) (m + 3)$ using the FOIL Method.

Apply the distributive property.

$m (m + 3) + 2 (m + 3) = (m + 2) (m - 2)$

Apply the distributive property.

$m \cdot m + m \cdot 3 + 2 (m + 3) = (m + 2) (m - 2)$

Apply the distributive property.

$m \cdot m + m \cdot 3 + 2 m + 2 \cdot 3 = (m + 2) (m - 2)$

Simplify and combine like terms.

Simplify each term.

Multiply $m$ by $m$ .

$m^{2} + m \cdot 3 + 2 m + 2 \cdot 3 = (m + 2) (m - 2)$

Move $3$ to the left of $m$ .

$m^{2} + 3 \cdot m + 2 m + 2 \cdot 3 = (m + 2) (m - 2)$

Multiply $2$ by $3$ .

$m^{2} + 3 m + 2 m + 6 = (m + 2) (m - 2)$

Add $3 m$ and $2 m$ .

$m^{2} + 5 m + 6 = (m + 2) (m - 2)$

Simplify $(m + 2) (m - 2)$ .

Expand $(m + 2) (m - 2)$ using the FOIL Method.

Apply the distributive property.

$m^{2} + 5 m + 6 = m (m - 2) + 2 (m - 2)$

Apply the distributive property.

$m^{2} + 5 m + 6 = m \cdot m + m \cdot - 2 + 2 (m - 2)$

Apply the distributive property.

$m^{2} + 5 m + 6 = m \cdot m + m \cdot - 2 + 2 m + 2 \cdot - 2$

Simplify terms.

Combine the opposite terms in $m \cdot m + m \cdot - 2 + 2 m + 2 \cdot - 2$ .

Reorder the factors in the terms $m \cdot - 2$ and $2 m$ .

$m^{2} + 5 m + 6 = m \cdot m - 2 m + 2 m + 2 \cdot - 2$

Add $- 2 m$ and $2 m$ .

$m^{2} + 5 m + 6 = m \cdot m + 0 + 2 \cdot - 2$

Add $m \cdot m$ and $0$ .

$m^{2} + 5 m + 6 = m \cdot m + 2 \cdot - 2$

Simplify each term.

Multiply $m$ by $m$ .

$m^{2} + 5 m + 6 = m^{2} + 2 \cdot - 2$

Multiply $2$ by $- 2$ .

$m^{2} + 5 m + 6 = m^{2} - 4$

Move all terms containing $m$ to the left side of the equation.

Subtract $m^{2}$ from both sides of the equation.

$m^{2} + 5 m + 6 - m^{2} = - 4$

Combine the opposite terms in $m^{2} + 5 m + 6 - m^{2}$ .

Subtract $m^{2}$ from $m^{2}$ .

$5 m + 6 + 0 = - 4$

Add $5 m + 6$ and $0$ .

$5 m + 6 = - 4$

Move all terms not containing $m$ to the right side of the equation.

Subtract $6$ from both sides of the equation.

$5 m = - 4 - 6$

Subtract $6$ from $- 4$ .

$5 m = - 10$

Divide each term in $5 m = - 10$ by $5$ and simplify.

Divide each term in $5 m = - 10$ by $5$ .

$\frac{5 m}{5} = \frac{- 10}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 m}{5} = \frac{- 10}{5}$

Divide $m$ by $1$ .

$m = \frac{- 10}{5}$

Simplify the right side.

Divide $- 10$ by $5$ .

$m = - 2$

Solve for m (m+2)(m+3)=(m+2)(m-2)

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