Basic Math Examples

$d = \frac{V}{2 r}$

Step 1

Rewrite the equation as $\frac{V}{2 r} = d$ .

$\frac{V}{2 r} = d$

Step 2

Multiply both sides by $2 r$ .

$\frac{V}{2 r} (2 r) = d (2 r)$

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Simplify $\frac{V}{2 r} (2 r)$ .

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Step 3.1.1.1

Rewrite using the commutative property of multiplication.

$2 \frac{V}{2 r} r = d (2 r)$

Step 3.1.1.2

Cancel the common factor of $2$ .

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Step 3.1.1.2.1

Factor $2$ out of $2 r$ .

$2 \frac{V}{2 (r)} r = d (2 r)$

Step 3.1.1.2.2

Cancel the common factor.

$2 \frac{V}{2 r} r = d (2 r)$

Step 3.1.1.2.3

Rewrite the expression.

$\frac{V}{r} r = d (2 r)$

Step 3.1.1.3

Cancel the common factor of $r$ .

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Step 3.1.1.3.1

Cancel the common factor.

$\frac{V}{r} r = d (2 r)$

Step 3.1.1.3.2

Rewrite the expression.

$V = d (2 r)$

Step 3.2

Simplify the right side.

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Step 3.2.1

Rewrite using the commutative property of multiplication.

$V = 2 d r$