What is factor x^2+10x-24 ?

The solution to factor x^2+10x-24 is (x-2)(x+12)

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factor x^2+10x-24

factor

x^{2} + 10 x - 24

(x - 2) (x + 12)

Solution steps

x^{2} + 10 x - 24

Break the expression into groups

= (x^{2} - 2 x) + (12 x - 24)

Factor out

x

from

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

Factor out

12

from

12 x - 24 : 12 (x - 2)

= x (x - 2) + 12 (x - 2)

Factor out common term

x - 2

= (x - 2) (x + 12)

\frac{10 k + 40}{k ^{2} - k - 20}

- 9 (x + 4) + 2 x + 5 = 8 x + 10

10 x^{2} + x = 2

\frac{4}{8} = \frac{x}{10}

- 6 < 4 - 2 x \leq - 1