What is factor 5x^2-33x+18 ?

The solution to factor 5x^2-33x+18 is (5x-3)(x-6)

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factor 5x^2-33x+18

factor

5 x^{2} - 33 x + 18

(5 x - 3) (x - 6)

Solution steps

5 x^{2} - 33 x + 18

Break the expression into groups

= (5 x^{2} - 3 x) + (- 30 x + 18)

Factor out

x

from

5 x^{2} - 3 x : x (5 x - 3)

Factor out

- 6

from

- 30 x + 18 : - 6 (5 x - 3)

= x (5 x - 3) - 6 (5 x - 3)

Factor out common term

5 x - 3

= (5 x - 3) (x - 6)

3 + 5^{2}

3 = - \frac{1}{4} (3) + b

\frac{12}{6 + 2}

5 x^{2} + 1 = 4 x - 7

x + 13 < 0