10x^2 + 11x - 6 = 0. Solve by factoring.

First, you will need to factor:             10x² + 11x - 6

Because the last term (-6) is a negative, the parentheses will include one plus sign and one minus sign.

Find the factors of  10; they will be either  10  and  1    or    5  and  2.

Find the factors of 6; they will be either  6  and  1    or    3  and  2.

So, the possibilities are:

    (10x + 6)(1x - 1)              (10x - 6)(1x + 1)              (10x + 1)(1x - 6)              (10x - 1)(1x + 6)

    (5x + 6)(2x - 1)                (5x - 6)(2x + 1)                (5x + 3)(2x - 2)               (5x - 3)(2x + 2)

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

Check each one!  The middle term must become +11x.

Once you have determined which one is correct, set each factor equal to zero to find the two answers.