Basic Math Examples

$\frac{c}{9} + 2 = \frac{c}{9}$

Step 1

Multiply both sides by $9$ .

$(\frac{c}{9} + 2) \cdot 9 = \frac{c}{9} \cdot 9$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $(\frac{c}{9} + 2) \cdot 9$ .

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Step 2.1.1.1

Apply the distributive property.

$\frac{c}{9} \cdot 9 + 2 \cdot 9 = \frac{c}{9} \cdot 9$

Step 2.1.1.2

Cancel the common factor of $9$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{c}{9} \cdot 9 + 2 \cdot 9 = \frac{c}{9} \cdot 9$

Step 2.1.1.2.2

Rewrite the expression.

$c + 2 \cdot 9 = \frac{c}{9} \cdot 9$

Step 2.1.1.3

Multiply $2$ by $9$ .

$c + 18 = \frac{c}{9} \cdot 9$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $9$ .

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Step 2.2.1.1

Cancel the common factor.

$c + 18 = \frac{c}{9} \cdot 9$

Step 2.2.1.2

Rewrite the expression.

$c + 18 = c$

Step 3

Solve for $c$ .

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Step 3.1

Move all terms containing $c$ to the left side of the equation.

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Step 3.1.1

Subtract $c$ from both sides of the equation.

$c + 18 - c = 0$

Step 3.1.2

Combine the opposite terms in $c + 18 - c$ .

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Step 3.1.2.1

Subtract $c$ from $c$ .

$0 + 18 = 0$

Step 3.1.2.2

Add $0$ and $18$ .

$18 = 0$

Step 3.2

Since $18 \neq 0$ , there are no solutions.

No solution