Basic Math Examples

$A = \frac{1}{2} \cdot (f (q + z))$

Step 1

Rewrite the equation as $\frac{1}{2} \cdot (f (q + z)) = A$ .

$\frac{1}{2} \cdot (f (q + z)) = A$

Step 2

Multiply both sides of the equation by $2$ .

$2 (\frac{1}{2} \cdot (f (q + z))) = 2 A$

Step 3

Simplify the left side.

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Step 3.1

Simplify $2 (\frac{1}{2} \cdot (f (q + z)))$ .

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Step 3.1.1

Apply the distributive property.

$2 (\frac{1}{2} \cdot (f q + f z)) = 2 A$

Step 3.1.2

Apply the distributive property.

$2 (\frac{1}{2} (f q) + \frac{1}{2} (f z)) = 2 A$

Step 3.1.3

Multiply $\frac{1}{2} (f q)$ .

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Step 3.1.3.1

Combine $f$ and $\frac{1}{2}$ .

$2 (\frac{f}{2} q + \frac{1}{2} (f z)) = 2 A$

Step 3.1.3.2

Combine $\frac{f}{2}$ and $q$ .

$2 (\frac{f q}{2} + \frac{1}{2} (f z)) = 2 A$

$2 (\frac{f q}{2} + \frac{1}{2} (f z)) = 2 A$

Step 3.1.4

Multiply $\frac{1}{2} (f z)$ .

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Step 3.1.4.1

Combine $f$ and $\frac{1}{2}$ .

$2 (\frac{f q}{2} + \frac{f}{2} z) = 2 A$

Step 3.1.4.2

Combine $\frac{f}{2}$ and $z$ .

$2 (\frac{f q}{2} + \frac{f z}{2}) = 2 A$

$2 (\frac{f q}{2} + \frac{f z}{2}) = 2 A$

Step 3.1.5

Apply the distributive property.

$2 \frac{f q}{2} + 2 \frac{f z}{2} = 2 A$

Step 3.1.6

Cancel the common factor of $2$ .

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Step 3.1.6.1

Cancel the common factor.

$2 \frac{f q}{2} + 2 \frac{f z}{2} = 2 A$

Step 3.1.6.2

Rewrite the expression.

$f q + 2 \frac{f z}{2} = 2 A$

$f q + 2 \frac{f z}{2} = 2 A$

Step 3.1.7

Cancel the common factor of $2$ .

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Step 3.1.7.1

Cancel the common factor.

$f q + 2 \frac{f z}{2} = 2 A$

Step 3.1.7.2

Rewrite the expression.

$f q + f z = 2 A$

$f q + f z = 2 A$

$f q + f z = 2 A$

$f q + f z = 2 A$

Step 4

Subtract $f z$ from both sides of the equation.

$f q = 2 A - f z$

Step 5

Divide each term in $f q = 2 A - f z$ by $f$ and simplify.

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Step 5.1

Divide each term in $f q = 2 A - f z$ by $f$ .

$\frac{f q}{f} = \frac{2 A}{f} + \frac{- f z}{f}$

Step 5.2

Simplify the left side.

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Step 5.2.1

Cancel the common factor of $f$ .

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Step 5.2.1.1

Cancel the common factor.

$\frac{f q}{f} = \frac{2 A}{f} + \frac{- f z}{f}$

Step 5.2.1.2

Divide $q$ by $1$ .

$q = \frac{2 A}{f} + \frac{- f z}{f}$

$q = \frac{2 A}{f} + \frac{- f z}{f}$

$q = \frac{2 A}{f} + \frac{- f z}{f}$

Step 5.3

Simplify the right side.

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Step 5.3.1

Simplify each term.

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Step 5.3.1.1

Cancel the common factor of $f$ .

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Step 5.3.1.1.1

Cancel the common factor.

$q = \frac{2 A}{f} + \frac{- f z}{f}$

Step 5.3.1.1.2

Divide $- 1 z$ by $1$ .

$q = \frac{2 A}{f} - 1 z$

$q = \frac{2 A}{f} - 1 z$

Step 5.3.1.2

Rewrite $- 1 z$ as $- z$ .

$q = \frac{2 A}{f} - z$

$q = \frac{2 A}{f} - z$

$q = \frac{2 A}{f} - z$

$q = \frac{2 A}{f} - z$

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