Sometimes you are presented with solving for unknown variables in rational expressions (expression where numerator and or denominator are polynomials).
First, find least common denominators (lcd). Factor any denominators if possible. We can factor 2x-4 to 2(x-2). This happens to be our lcd. We’ll multiply the first term by 2 and the final term by 2x-4.
Now, let’s simplify by multiplying:
Let’s add terms on the right side:
Since the denominators are the same on both sides, the numerators mut be equal:
add 4 to both sides:
divide by 3 on both sides:
If you plug in 2 to both sides you’ll get undefined. No solutions.