Algebra Examples

$m^{2} + 5 m = 2 m^{2}$

Step 1

Move all terms to the left side of the equation and simplify.

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

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

Step 2

The discriminant of a quadratic is the expression inside the radical of the quadratic formula.

$b^{2} - 4 (a c)$

Step 3

Substitute in the values of $a$ , $b$ , and $c$ .

$5^{2} - 4 (- 0)$

Step 4

Evaluate the result to find the discriminant.

Tap for more steps...

Step 4.1

Simplify each term.

Tap for more steps...

Step 4.1.1

Raise $5$ to the power of $2$ .

$25 - 4 (- 0)$

Step 4.1.2

Multiply $- 4 (- 0)$ .

Tap for more steps...

Step 4.1.2.1

Multiply $- 1$ by $0$ .

$25 - 4 \cdot 0$

Step 4.1.2.2

Multiply $- 4$ by $0$ .

$25 + 0$

Step 4.2

Add $25$ and $0$ .

$25$