Algebra Examples

$v^{2} = v \cdot 0^{2} + 2 a x$

Step 1

Rewrite the equation as $v \cdot 0^{2} + 2 a x = v^{2}$ .

$v \cdot 0^{2} + 2 a x = v^{2}$

Step 2

Simplify $v \cdot 0^{2} + 2 a x$ .

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Raising $0$ to any positive power yields $0$ .

$v \cdot 0 + 2 a x = v^{2}$

Step 2.1.2

Multiply $v$ by $0$ .

$0 + 2 a x = v^{2}$

Step 2.2

Add $0$ and $2 a x$ .

$2 a x = v^{2}$

Step 3

Divide each term in $2 a x = v^{2}$ by $2 x$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $2 a x = v^{2}$ by $2 x$ .

$\frac{2 a x}{2 x} = \frac{v^{2}}{2 x}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{2 a x}{2 x} = \frac{v^{2}}{2 x}$

Step 3.2.1.2

Rewrite the expression.

$\frac{a x}{x} = \frac{v^{2}}{2 x}$

Step 3.2.2

Cancel the common factor of $x$ .

Tap for more steps...

Step 3.2.2.1

Cancel the common factor.

$\frac{a x}{x} = \frac{v^{2}}{2 x}$

Step 3.2.2.2

Divide $a$ by $1$ .

$a = \frac{v^{2}}{2 x}$