Find the Discriminant 3x^2+6x=-3

$3 x^{2} + 6 x = - 3$

Step 1

Add $3$ to both sides of the equation.

$3 x^{2} + 6 x + 3 = 0$

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 $c$ .

$6^{2} - 4 (3 \cdot 3)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $6$ to the power of $2$ .

$36 - 4 (3 \cdot 3)$

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

Multiply $3$ by $3$ .

$36 - 4 \cdot 9$

Multiply $- 4$ by $9$ .

$36 - 36$

Subtract $36$ from $36$ .

$0$