What is factor x^2-3x-54 ?

The solution to factor x^2-3x-54 is (x+6)(x-9)

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factor x^2-3x-54

factor

x^{2} - 3 x - 54

(x + 6) (x - 9)

Solution steps

x^{2} - 3 x - 54

Break the expression into groups

= (x^{2} + 6 x) + (- 9 x - 54)

Factor out

x

from

x^{2} + 6 x : x (x + 6)

Factor out

- 9

from

- 9 x - 54 : - 9 (x + 6)

= x (x + 6) - 9 (x + 6)

Factor out common term

x + 6

= (x + 6) (x - 9)

x^{0}

9 a^{2} - 16

3 (y - 2) + 2 y = 4 y + 14

r^{2} - 8 r + 14 = 0

t^{2} + 6 t - 16 = 0