Algebra Examples

$x^{2} - 5 x = 2 x^{2} - 5 x$

Step 1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1

Subtract $2 x^{2}$ from both sides of the equation.

$x^{2} - 5 x - 2 x^{2} = - 5 x$

Step 1.2

Add $5 x$ to both sides of the equation.

$x^{2} - 5 x - 2 x^{2} + 5 x = 0$

Step 2

Simplify $x^{2} - 5 x - 2 x^{2} + 5 x$ .

Tap for more steps...

Step 2.1

Combine the opposite terms in $x^{2} - 5 x - 2 x^{2} + 5 x$ .

Tap for more steps...

Step 2.1.1

Add $- 5 x$ and $5 x$ .

$x^{2} - 2 x^{2} + 0 = 0$

Step 2.1.2

Add $x^{2} - 2 x^{2}$ and $0$ .

$x^{2} - 2 x^{2} = 0$

Step 2.2

Subtract $2 x^{2}$ from $x^{2}$ .

$- x^{2} = 0$

Step 3

Divide each term in $- x^{2} = 0$ by $- 1$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $- x^{2} = 0$ by $- 1$ .

$\frac{- x^{2}}{- 1} = \frac{0}{- 1}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Dividing two negative values results in a positive value.

$\frac{x^{2}}{1} = \frac{0}{- 1}$

Step 3.2.2

Divide $x^{2}$ by $1$ .

$x^{2} = \frac{0}{- 1}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $0$ by $- 1$ .

$x^{2} = 0$

Step 4

Take the specified root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{0}$

Step 5

Simplify $\pm \sqrt{0}$ .

Tap for more steps...

Step 5.1

Rewrite $0$ as $0^{2}$ .

$x = \pm \sqrt{0^{2}}$

Step 5.2

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 0$

Step 5.3

Plus or minus $0$ is $0$ .

$x = 0$