What is factor t^2-t-72 ?

The solution to factor t^2-t-72 is (t+8)(t-9)

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factor t^2-t-72

factor

t^{2} - t - 72

(t + 8) (t - 9)

Solution steps

t^{2} - t - 72

Break the expression into groups

= (t^{2} + 8 t) + (- 9 t - 72)

Factor out

t

from

t^{2} + 8 t : t (t + 8)

Factor out

- 9

from

- 9 t - 72 : - 9 (t + 8)

= t (t + 8) - 9 (t + 8)

Factor out common term

t + 8

= (t + 8) (t - 9)

\frac{x ^{2}}{4} - \frac{9 x}{2} + 8 = 0

3^{(\frac{3}{2})}

- 3 x^{2} + 5 x = 8

- 2 x + 3 = - 8 x^{2}

20 + w = 10