Basic Math Examples

$a b c d + d c b a = 5555$

Step 1

Add $a b c d$ and $d c b a$ .

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Step 1.1

Reorder $b$ and $a$ .

$a b c d + a b c d = 5555$

Step 1.2

Add $a b c d$ and $a b c d$ .

$2 a b c d = 5555$

Step 2

Divide each term in $2 a b c d = 5555$ by $2 a c d$ and simplify.

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Step 2.1

Divide each term in $2 a b c d = 5555$ by $2 a c d$ .

$\frac{2 a b c d}{2 a c d} = \frac{5555}{2 a c d}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 a b c d}{2 a c d} = \frac{5555}{2 a c d}$

Step 2.2.1.2

Rewrite the expression.

$\frac{a b c d}{a c d} = \frac{5555}{2 a c d}$

Step 2.2.2

Cancel the common factor of $a$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{a b c d}{a c d} = \frac{5555}{2 a c d}$

Step 2.2.2.2

Rewrite the expression.

$\frac{b c d}{c d} = \frac{5555}{2 a c d}$

Step 2.2.3

Cancel the common factor of $c$ .

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Step 2.2.3.1

Cancel the common factor.

$\frac{b c d}{c d} = \frac{5555}{2 a c d}$

Step 2.2.3.2

Rewrite the expression.

$\frac{b d}{d} = \frac{5555}{2 a c d}$

Step 2.2.4

Cancel the common factor of $d$ .

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Step 2.2.4.1

Cancel the common factor.

$\frac{b d}{d} = \frac{5555}{2 a c d}$

Step 2.2.4.2

Divide $b$ by $1$ .

$b = \frac{5555}{2 a c d}$