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

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

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

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

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

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

Subtract $6 x$ from both sides of the equation.

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

Simplify $x^{2} - 6 x - 2 x^{2} - 6 x$ .

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

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

Subtract $6 x$ from $- 6 x$ .

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

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

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

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

${(- 12)}^{2} - 4 (- 0)$

Evaluate the result to find the discriminant.

Simplify each term.

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

$144 - 4 (- 0)$

Multiply $- 1$ by $0$ .

$144 - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$144 + 0$

Add $144$ and $0$ .

$144$