Find the Discriminant 3x^2-2x+7x=0

$3 x^{2} - 2 x + 7 x = 0$

Step 1

Simplify the left side.

Add $- 2 x$ and $7 x$ .

$3 x^{2} + 5 x = 0$

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 $c$ .

$5^{2} - 4 (3 \cdot 0)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

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

$25 - 4 (3 \cdot 0)$

Multiply $- 4 (3 \cdot 0)$ .

Multiply $3$ by $0$ .

$25 - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$25 + 0$

Add $25$ and $0$ .

$25$