Algebra Examples

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

Step 1

Factor $- 1$ out of $- b$ .

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

Step 2

Factor $- 1$ out of $\sqrt{b^{2} - 4 a c}$ .

$\frac{- (b) - 1 (- \sqrt{b^{2} - 4 a c})}{2 a}$

Step 3

Factor $- 1$ out of $- (b) - 1 (- \sqrt{b^{2} - 4 a c})$ .

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

Step 4

Simplify the expression.

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Step 4.1

Rewrite $- (b - \sqrt{b^{2} - 4 a c})$ as $- 1 (b - \sqrt{b^{2} - 4 a c})$ .

$\frac{- 1 (b - \sqrt{b^{2} - 4 a c})}{2 a}$

Step 4.2

Move the negative in front of the fraction.

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