Finite Math Examples

$w = 2 z x + 2 z y$

Step 1

Rewrite the equation as $2 z x + 2 z y = w$ .

$2 z x + 2 z y = w$

Step 2

Factor $2 z$ out of $2 z x + 2 z y$ .

Tap for more steps...

Step 2.1

Factor $2 z$ out of $2 z x$ .

$2 z (x) + 2 z y = w$

Step 2.2

Factor $2 z$ out of $2 z y$ .

$2 z (x) + 2 z (y) = w$

Step 2.3

Factor $2 z$ out of $2 z (x) + 2 z (y)$ .

$2 z (x + y) = w$

Step 3

Divide each term in $2 z (x + y) = w$ by $2 (x + y)$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $2 z (x + y) = w$ by $2 (x + y)$ .

$\frac{2 z (x + y)}{2 (x + y)} = \frac{w}{2 (x + y)}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{2 z (x + y)}{2 (x + y)} = \frac{w}{2 (x + y)}$

Step 3.2.1.2

Rewrite the expression.

$\frac{z (x + y)}{x + y} = \frac{w}{2 (x + y)}$

Step 3.2.2

Cancel the common factor of $x + y$ .

Tap for more steps...

Step 3.2.2.1

Cancel the common factor.

$\frac{z (x + y)}{x + y} = \frac{w}{2 (x + y)}$

Step 3.2.2.2

Divide $z$ by $1$ .

$z = \frac{w}{2 (x + y)}$