Question

1/6x^2=1/2x+7/6x^2
Rational Equation

Answer 1

Answer: x = -2

Explanation:

`(1)/(6x^2) =(1)/(2x) +(7)/(6x^2)`

`(1)/(6x^2) = (3x)/(6x^2) + (7)/(6x^2)` (work with common denominators)

`(1)/(6x^2) = (3x+7)/(6x^2)`

`1 = 3x + 7` (remove the 6x^2 because they'll cancel out when you cross multiply)

`-6 = 3x`

`-2 = x`