x + (12/x) - 7 = 0 From the 2nd term (12/x), the condition is x≠0.
Multiply both sides of the equation by x to eliminate the denominator x. We have:
x² + 12 - 7x = 0 Put the equation into standard form. We have:
x - 7x + 12 = 0 Factor the LHS of equation, finding 2 numbers, a and b for example, that make a+b=-7, and ab=12. We have: a=-3 and b=-4, or vice versa. The equation can be factored as follows:
(x - 3)(x - 4) = 0 We have: x - 3 = 0, or x - 4 = 0
The answer is: x=3, or x=4