Basic Math Examples

w = x + x y z

$w = x + x y z$

Step 1

Rewrite the equation as

x + x y z = w

$x + x y z = w$ .

x + x y z = w

$x + x y z = w$

Step 2

Subtract

x

$x$ from both sides of the equation.

x y z = w - x

$x y z = w - x$

Step 3

Divide each term in

x y z = w - x

$x y z = w - x$ by

x y

$x y$ and simplify.

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Step 3.1

Divide each term in

x y z = w - x

$x y z = w - x$ by

x y

$x y$ .

\frac{x y z}{x y} = \frac{w}{x y} + \frac{- x}{x y}

$\frac{x y z}{x y} = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of

x

$x$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{x y z}{x y} = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.2.1.2

Rewrite the expression.

$\frac{y z}{y} = \frac{w}{x y} + \frac{- x}{x y}$

$\frac{y z}{y} = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.2.2

Cancel the common factor of

$y$ .

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Step 3.2.2.1

Cancel the common factor.

$\frac{y z}{y} = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.2.2.2

Divide

$z$ by

$1$ .

$z = \frac{w}{x y} + \frac{- x}{x y}$

$z = \frac{w}{x y} + \frac{- x}{x y}$

$z = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Simplify each term.

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Step 3.3.1.1

Cancel the common factor of

$x$ .

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Step 3.3.1.1.1

Cancel the common factor.

$z = \frac{w}{x y} + \frac{- x}{x y}$

Step 3.3.1.1.2

Rewrite the expression.

$z = \frac{w}{x y} + \frac{- 1}{y}$

$z = \frac{w}{x y} + \frac{- 1}{y}$

Step 3.3.1.2

Move the negative in front of the fraction.

$z = \frac{w}{x y} - \frac{1}{y}$

$z = \frac{w}{x y} - \frac{1}{y}$

$z = \frac{w}{x y} - \frac{1}{y}$

$z = \frac{w}{x y} - \frac{1}{y}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$