Find the Discriminant -7n^2+16n=8n

$- 7 n^{2} + 16 n = 8 n$

Step 1

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

Subtract $8 n$ from both sides of the equation.

$- 7 n^{2} + 16 n - 8 n = 0$

Subtract $8 n$ from $16 n$ .

$- 7 n^{2} + 8 n = 0$

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 $c$ .

$8^{2} - 4 (- 7 \cdot 0)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $8$ to the power of $2$ .

$64 - 4 (- 7 \cdot 0)$

Multiply $- 4 (- 7 \cdot 0)$ .

Multiply $- 7$ by $0$ .

$64 - 4 \cdot 0$

Multiply $- 4$ by $0$ .

$64 + 0$

Add $64$ and $0$ .

$64$