((c+4)/(c-2))-3=c/4 | Solve for c Answer

Question

Solve rational expression for c

Answer 1

Multiply both sides of the equation by the LCD: 4(c-2).

This gives you 4(c+4) - 4(3)(c-2) = c(c-2)

So, using the distributive property, you get

4c + 16 - 12c + 24 = c² - 2c

Get the left-hand side equal to zero.

0 = c² +6c - 40     Then Factor.

(c+10)(c-4) = 0     

c + 10 = 0  or c - 4 = 0

c = -10   or c = 4