What is factor-x^2-15x-36 ?

The solution to factor-x^2-15x-36 is -(x+3)(x+12)

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factor-x^2-15x-36

factor

- x^{2} - 15 x - 36

- (x + 3) (x + 12)

Solution steps

- x^{2} - 15 x - 36

Break the expression into groups

= (- x^{2} - 3 x) + (- 12 x - 36)

Factor out

- x

from

- x^{2} - 3 x : - x (x + 3)

Factor out

- 12

from

- 12 x - 36 : - 12 (x + 3)

= - x (x + 3) - 12 (x + 3)

Factor out common term

x + 3

= (x + 3) (- x - 12)

Factor

- x - 12 : - (x + 12)

= (x + 3) (- (x + 12))

Apply rule:

a (- b) = - ab

(x + 3) (- (x + 12)) = - (x + 3) (x + 12)

= - (x + 3) (x + 12)

- \frac{7}{4 - 3 x} > 0

7 = \frac{3}{2} (x - 6)

3 x^{2} + 24 x + 9 = 0

10 x^{2} - 105 x + 135

2000 (x - 0.03) = 6000