# Quadratic Equation

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Factorize the equation :
x^{2} + 19x + 90

### STEP-1

##### First of all multiply constant term and coefficient of x^{2} that is 1 so **90 * 1 = 90**

19

90

(90 * 1)
### STEP-2

##### Now split the coefficient of x that is **19** in two part so that their multiplication equals to **90** and their addition equals to **19** so

**10 * 9 = 90** ( Constant Term )

**10 + 9 = 19** ( Coefficient of middile term )

so the factor of the equation is-

**(x + 10) (x + 9)**

##### If we have to calulate zeros then-

x + 10 = 0 or x + 9 = 0

x = **- 10** or x = **- 9**