Answer:
-3/2 or 9/4
Explanation:
16x^2 - 12x = 54
Now, we take 54 to the left side. It leads the right side to become "0". As 54 is a positive, it will negative as we change the side.
16x^2 - 12x - 54 = 0
Dividing both the sides by 2, we get,
8x^2 - 6x - 27 = 0
Now, we use factorization method,
8x^2 + 12x - 18x - 27 = 0
or, 4x (2x + 3) - 9 (2x + 3) = 0
or, (2x + 3) (4x - 9) = 0
Now, 2x + 3 = 0; or, 4x - 9 = 0
2x = - 3; or, 4x = 9 (changing the sides)
or, x = - (3÷2); or, x = (9÷4)
Therefore, the solution set for x is either - 3/2 or 9/4