Find the Discriminant -30x+25=-9x^2

$- 30 x + 25 = - 9 x^{2}$

Step 1

Add $9 x^{2}$ to both sides of the equation.

$- 30 x + 25 + 9 x^{2} = 0$

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 $c$ .

${(- 30)}^{2} - 4 (9 \cdot 25)$

Step 4

Evaluate the result to find the discriminant.

Simplify each term.

Raise $- 30$ to the power of $2$ .

$900 - 4 (9 \cdot 25)$

Multiply $- 4 (9 \cdot 25)$ .

Multiply $9$ by $25$ .

$900 - 4 \cdot 225$

Multiply $- 4$ by $225$ .

$900 - 900$

Subtract $900$ from $900$ .

$0$