What is factor 4x^2+4x-15 ?

The solution to factor 4x^2+4x-15 is (2x-3)(2x+5)

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factor 4x^2+4x-15

factor

4 x^{2} + 4 x - 15

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

Solution steps

4 x^{2} + 4 x - 15

Break the expression into groups

= (4 x^{2} - 6 x) + (10 x - 15)

Factor out

2 x

from

4 x^{2} - 6 x : 2 x (2 x - 3)

Factor out

5

from

10 x - 15 : 5 (2 x - 3)

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

Factor out common term

2 x - 3

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

3 + ∣ 2 + 5 x ∣ = 12

2 x + 9 \geq 7

x^{2} + 5 x - 10 = 0

6 x^{3} + 25 x^{2} - 29 x - 20

66 \cdot 2