18x^=12+15x How to solve

I'm assuming the 18x is to the power of 2. To solve this you first rearrange it to 18x^2 - 15x-12 = 0

You can begin to factorize it by finding two numbers which add up to - 15 and multiply to - 216. These two numbers would be - 24 and 9.

You can now write the equation as 18x^2 - 24x + 9x - 12 = 0

then, 6x (3x-4) + 3 (3x-4)

= (6x+3) (3x-4) = 0

Then to find what x is either (6x-3) = 0 or (3x-4) = 0

Therefore 6x-3=0

6x=3

x=2

and when 3x-4=0

3x=4

x=4/3

Final Answers: x = 2 or 4/3