What is factor x^2+14x-72 ?

The solution to factor x^2+14x-72 is (x-4)(x+18)

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factor x^2+14x-72

factor

x^{2} + 14 x - 72

(x - 4) (x + 18)

Solution steps

x^{2} + 14 x - 72

Break the expression into groups

= (x^{2} - 4 x) + (18 x - 72)

Factor out

x

from

x^{2} - 4 x : x (x - 4)

Factor out

18

from

18 x - 72 : 18 (x - 4)

= x (x - 4) + 18 (x - 4)

Factor out common term

x - 4

= (x - 4) (x + 18)

3 x = 3 (x - 1)

t^{2} - 5 t = 0

4 k^{2} - 6 k - 1 = 0

\frac{- 120}{5}

\frac{2 + 3 i}{5 + 2 i}