Algebra Examples

f x - g x = h

$f x - g x = h$

Step 1

Factor

x

$x$ out of

f x - g x

$f x - g x$ .

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Step 1.1

Factor

x

$x$ out of

f x

$f x$ .

x f - g x = h

$x f - g x = h$

Step 1.2

Factor

x

$x$ out of

- g x

$- g x$ .

x f + x (- g) = h

$x f + x (- g) = h$

Step 1.3

Factor

x

$x$ out of

x f + x (- g)

$x f + x (- g)$ .

x (f - g) = h

$x (f - g) = h$

x (f - g) = h

$x (f - g) = h$

Step 2

Divide each term in

x (f - g) = h

$x (f - g) = h$ by

f - g

$f - g$ and simplify.

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Step 2.1

Divide each term in

x (f - g) = h

$x (f - g) = h$ by

f - g

$f - g$ .

\frac{x (f - g)}{f - g} = \frac{h}{f - g}

$\frac{x (f - g)}{f - g} = \frac{h}{f - g}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of

f - g

$f - g$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{x (f - g)}{f - g} = \frac{h}{f - g}$

Step 2.2.1.2

Divide

$x$ by

$1$ .

$x = \frac{h}{f - g}$

$x = \frac{h}{f - g}$

$x = \frac{h}{f - g}$

$x = \frac{h}{f - g}$

$f x - g x = h$

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