Find the Discriminant 6x^2=12x-6

$6 x^{2} = 12 x - 6$

Step 1

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

Subtract $12 x$ from both sides of the equation.

$6 x^{2} - 12 x = - 6$

Add $6$ to both sides of the equation.

$6 x^{2} - 12 x + 6 = 0$

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 $c$ .

${(- 12)}^{2} - 4 (6 \cdot 6)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 12$ to the power of $2$ .

$144 - 4 (6 \cdot 6)$

Multiply $- 4 (6 \cdot 6)$ .

Multiply $6$ by $6$ .

$144 - 4 \cdot 36$

Multiply $- 4$ by $36$ .

$144 - 144$

Subtract $144$ from $144$ .

$0$