What is factor 5x(2-x)+4x(2x-5)-(3x-4) ?

The solution to factor 5x(2-x)+4x(2x-5)-(3x-4) is (3x-1)(x-4)

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factor 5x(2-x)+4x(2x-5)-(3x-4)

factor

5 x (2 - x) + 4 x (2 x - 5) - (3 x - 4)

(3 x - 1) (x - 4)

Solution steps

5 x (2 - x) + 4 x (2 x - 5) - (3 x - 4)

Expand

5 x (2 - x) : 10 x - 5 x^{2}

= 10 x - 5 x^{2} + 4 x (2 x - 5) - (3 x - 4)

Expand

4 x (2 x - 5) : 8 x^{2} - 20 x

= 10 x - 5 x^{2} + 8 x^{2} - 20 x - (3 x - 4)

- (3 x - 4) : - 3 x + 4

= 10 x - 5 x^{2} + 8 x^{2} - 20 x - 3 x + 4

Simplify

10 x - 5 x^{2} + 8 x^{2} - 20 x - 3 x + 4 : 3 x^{2} - 13 x + 4

= 3 x^{2} - 13 x + 4

Break the expression into groups

= (3 x^{2} - x) + (- 12 x + 4)

Factor out

x

from

3 x^{2} - x : x (3 x - 1)

Factor out

- 4

from

- 12 x + 4 : - 4 (3 x - 1)

= x (3 x - 1) - 4 (3 x - 1)

Factor out common term

3 x - 1

= (3 x - 1) (x - 4)

- 5 (t - 3) \leq 35

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

- 1 > \frac{p}{2} + 1

\frac{2}{3} - \frac{1}{9}

5 \cdot \frac{3}{4}

What is factor 5x(2-x)+4x(2x-5)-(3x-4) ?
The solution to factor 5x(2-x)+4x(2x-5)-(3x-4) is (3x-1)(x-4)