Solve for x ax^2+bx+c=0

$a x^{2} + b x + c = 0$

Step 1

Use the quadratic formula to find the solutions.

$\frac{- b \pm \sqrt{b^{2} - 4 (a c)}}{2 a}$

Step 2

Substitute the values $a = a$ , $b = b$ , and $c = c$ into the quadratic formula and solve for $x$ .

$\frac{- b \pm \sqrt{b^{2} - 4 \cdot (a \cdot c)}}{2 a}$

Step 3

Multiply $- 4 a$ by $c$ .

$x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}$

Step 4

The final answer is the combination of both solutions.

$x = - \frac{b - \sqrt{b^{2} - 4 a c}}{2 a}$

$x = - \frac{b + \sqrt{b^{2} - 4 a c}}{2 a}$