Solve 2x^2=11x+6 by factoring

(x-6) (2x+1)

Step-by-step explanation:

1) move everything over to the left side, so subtract 11x and 6.

2x^2 - 11x - 6 = 0

2) multiply 2 (a term) with - 6 (c term)

x^2 - 11x - 12

3) factor and find what multiples to - 12 and adds up to - 11. in this case its - 12 and positive 1

(x-12) (x+1)

4) divide - 12 and 1 by the original a term (2)

(x-6) (x+1/2)

5) move the denominator of 2 over to the x.

(x-6) (2x+1)