Basic Math Examples

$\frac{c^{2}}{2} = 2 c$

Step 1

Multiply both sides by $2$ .

$\frac{c^{2}}{2} \cdot 2 = 2 c \cdot 2$

Step 2

Simplify.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Cancel the common factor of $2$ .

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Step 2.1.1.1

Cancel the common factor.

$\frac{c^{2}}{2} \cdot 2 = 2 c \cdot 2$

Step 2.1.1.2

Rewrite the expression.

$c^{2} = 2 c \cdot 2$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $2$ by $2$ .

$c^{2} = 4 c$

Step 3

Solve for $c$ .

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Step 3.1

Subtract $4 c$ from both sides of the equation.

$c^{2} - 4 c = 0$

Step 3.2

Factor $c$ out of $c^{2} - 4 c$ .

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Step 3.2.1

Factor $c$ out of $c^{2}$ .

$c \cdot c - 4 c = 0$

Step 3.2.2

Factor $c$ out of $- 4 c$ .

$c \cdot c + c \cdot - 4 = 0$

Step 3.2.3

Factor $c$ out of $c \cdot c + c \cdot - 4$ .

$c (c - 4) = 0$

Step 3.3

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$c = 0$

$c - 4 = 0$

Step 3.4

Set $c$ equal to $0$ .

$c = 0$

Step 3.5

Set $c - 4$ equal to $0$ and solve for $c$ .

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Step 3.5.1

Set $c - 4$ equal to $0$ .

$c - 4 = 0$

Step 3.5.2

Add $4$ to both sides of the equation.

$c = 4$

Step 3.6

The final solution is all the values that make $c (c - 4) = 0$ true.

$c = 0, 4$