Basic Math Examples

$\frac{d f + 10}{6} = g$

Step 1

Multiply both sides of the equation by $6$ .

$6 \frac{d f + 10}{6} = 6 g$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $6$ .

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Step 2.1.1

Cancel the common factor.

$6 \frac{d f + 10}{6} = 6 g$

Step 2.1.2

Rewrite the expression.

$d f + 10 = 6 g$

$d f + 10 = 6 g$

$d f + 10 = 6 g$

Step 3

Subtract $10$ from both sides of the equation.

$d f = 6 g - 10$

Step 4

Divide each term in $d f = 6 g - 10$ by $d$ and simplify.

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Step 4.1

Divide each term in $d f = 6 g - 10$ by $d$ .

$\frac{d f}{d} = \frac{6 g}{d} + \frac{- 10}{d}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $d$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{d f}{d} = \frac{6 g}{d} + \frac{- 10}{d}$

Step 4.2.1.2

Divide $f$ by $1$ .

$f = \frac{6 g}{d} + \frac{- 10}{d}$

$f = \frac{6 g}{d} + \frac{- 10}{d}$

$f = \frac{6 g}{d} + \frac{- 10}{d}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Move the negative in front of the fraction.

$f = \frac{6 g}{d} - \frac{10}{d}$

$f = \frac{6 g}{d} - \frac{10}{d}$

$f = \frac{6 g}{d} - \frac{10}{d}$

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