Question #c9a3b

1 Answer

See Below.

Explanation:

2m^2 + 2m - 12 = 0

rArr 2m^2 + (6 - 4)m - 12 = 0 [First factorise the left hand expression]

rArr 2m^2 + 6m - 4m - 12 = 0 [I choose 6 and 4 because 6 * 4 = 2 * 12, and 6 - 4 = 2]

rArr 2m(m + 3) - 4(m + 3) = 0 [Group the like terms]

rArr (m+3)(2m - 4) = 0 [Take the common part]

rArr 2(m + 3)(m- 2) = 0

rArr (m+3)(m- 2) = 0

If two numbers are multiplied and the answer is zero, then either of them must be zero or both of them.

So, Either, m + 3 = 0

rArr m = -3

Or, m -2 = 0

rArr m = 2

The solution of the quadratic equation is m = -3, 2