What is factor 4x^2+12x-7 ?

The solution to factor 4x^2+12x-7 is (2x-1)(2x+7)

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factor 4x^2+12x-7

factor

4 x^{2} + 12 x - 7

(2 x - 1) (2 x + 7)

Solution steps

4 x^{2} + 12 x - 7

Break the expression into groups

= (4 x^{2} - 2 x) + (14 x - 7)

Factor out

2 x

from

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

Factor out

7

from

14 x - 7 : 7 (2 x - 1)

= 2 x (2 x - 1) + 7 (2 x - 1)

Factor out common term

2 x - 1

= (2 x - 1) (2 x + 7)

7 7 x - 7 - 7 \geq 0

\frac{b ^{2}}{a ^{2}}

- 10 + \frac{7}{4} p = - 38

\frac{2}{3} + \frac{5}{2}

x + 5 \leq - 2 or x + 5 \geq 2