Precalculus Examples

$m (q x - c) = q c$

Step 1

Divide each term in $m (q x - c) = q c$ by $m$ and simplify.

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Step 1.1

Divide each term in $m (q x - c) = q c$ by $m$ .

$\frac{m (q x - c)}{m} = \frac{q c}{m}$

Step 1.2

Simplify the left side.

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Step 1.2.1

Cancel the common factor of $m$ .

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Step 1.2.1.1

Cancel the common factor.

$\frac{m (q x - c)}{m} = \frac{q c}{m}$

Step 1.2.1.2

Divide $q x - c$ by $1$ .

$q x - c = \frac{q c}{m}$

Step 2

Add $c$ to both sides of the equation.

$q x = \frac{q c}{m} + c$

Step 3

Divide each term in $q x = \frac{q c}{m} + c$ by $q$ and simplify.

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Step 3.1

Divide each term in $q x = \frac{q c}{m} + c$ by $q$ .

$\frac{q x}{q} = \frac{\frac{q c}{m}}{q} + \frac{c}{q}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $q$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{q x}{q} = \frac{\frac{q c}{m}}{q} + \frac{c}{q}$

Step 3.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{q c}{m}}{q} + \frac{c}{q}$

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

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{q c}{m} \cdot \frac{1}{q} + \frac{c}{q}$

Step 3.3.1.2

Cancel the common factor of $q$ .

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Step 3.3.1.2.1

Factor $q$ out of $q c$ .

$x = \frac{q (c)}{m} \cdot \frac{1}{q} + \frac{c}{q}$

Step 3.3.1.2.2

Cancel the common factor.

$x = \frac{q c}{m} \cdot \frac{1}{q} + \frac{c}{q}$

Step 3.3.1.2.3

Rewrite the expression.

$x = \frac{c}{m} + \frac{c}{q}$