Solve by Factoring (2m+3)(4m+3)=0

$(2 m + 3) (4 m + 3) = 0$

Step 1

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$2 m + 3 = 0$

$4 m + 3 = 0$

Step 2

Set $2 m + 3$ equal to $0$ and solve for $m$ .

Set $2 m + 3$ equal to $0$ .

$2 m + 3 = 0$

Solve $2 m + 3 = 0$ for $m$ .

Subtract $3$ from both sides of the equation.

$2 m = - 3$

Divide each term in $2 m = - 3$ by $2$ and simplify.

Divide each term in $2 m = - 3$ by $2$ .

$\frac{2 m}{2} = \frac{- 3}{2}$

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$\frac{2 m}{2} = \frac{- 3}{2}$

Divide $m$ by $1$ .

$m = \frac{- 3}{2}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{3}{2}$

Step 3

Set $4 m + 3$ equal to $0$ and solve for $m$ .

Set $4 m + 3$ equal to $0$ .

$4 m + 3 = 0$

Solve $4 m + 3 = 0$ for $m$ .

Subtract $3$ from both sides of the equation.

$4 m = - 3$

Divide each term in $4 m = - 3$ by $4$ and simplify.

Divide each term in $4 m = - 3$ by $4$ .

$\frac{4 m}{4} = \frac{- 3}{4}$

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 m}{4} = \frac{- 3}{4}$

Divide $m$ by $1$ .

$m = \frac{- 3}{4}$

Simplify the right side.

Move the negative in front of the fraction.

$m = - \frac{3}{4}$

Step 4

The final solution is all the values that make $(2 m + 3) (4 m + 3) = 0$ true.

$m = - \frac{3}{2}, - \frac{3}{4}$

Solve by Factoring (2m+3)(4m+3)=0

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