Harder factorisation and rearranging

Answer: x=23​x=2−7​

1. To split the middle term, use 14 and −6: they add to 8 and multiply to a×c=−84.
2. Factor by grouping: (2x−3)(2x+7)=0.
3. Set each factor equal to zero: 2x=3 or 2x=−7.
4. Therefore x=23​ or x=2−7​.
5. Enter both roots, in either order.

Answer: x=3−1​x=−2

1. To split the middle term, use 6 and 1: they add to 7 and multiply to a×c=6.
2. Factor by grouping: (3x+1)(x+2)=0.
3. Set each factor equal to zero: 3x=−1 or x=−2.
4. Therefore x=3−1​ or x=−2.
5. Enter both roots, in either order.

Answer: x=31​x=1

1. To split the middle term, use−3 and −1: they add to−4 and multiply to a×c=3.
2. Factor by grouping: (3x−1)(x−1)=0.
3. Set each factor equal to zero: 3x=1 or x=1.
4. Therefore x=31​ or x=1.
5. Enter both roots, in either order.