Question

Solve for x : 14x²+17x-6=0

Answer 1

ANSWER

14x²+17x-6=0

14x²+21x-4x-6=0

7x(2x+3)-2(2x+3)=0

(7x-2)(2x+3)=0

7x-2=0              and         2x+3=0

7x=2                                 2x= -3

x=$\frac{2}{7}$                                   x= $\frac{-3}{2}$

    {($\frac{2}{7}$ , $\frac{-3}{2}$)

Step-by-step explanation

• multiply 14 into 6 okay then the answer will be 84.
• then make factors of 17x that makes 17 when added and gets 84 when they are multiplied the factors are  21x - 4x.
• then take common 7 common an -2 common as above.
• and then compare both equations to zero.

Answer 2

14x^2+21x-4x-6=0

7x(2x+3) ,-2(2x+3)=0

(2x+3),(7x-2)

here

x=-3/2, x=2/7