Answer:
X=-8/5
Step-by-step explanation:
Multiply all terms by (x-2)(x-4)(x+4) and cancel:
3(x−4)(x+4)+7(x−2)(x+4)=18(x−4)
10x2+14x−104=18x−72(Simplify both sides of the equation)
10x2+14x−104−(18x−72)=18x−72−(18x−72)(Subtract 18x-72 from both sides)
10x2−4x−32=0
2(5x+8)(x−2)=0(Factor left side of equation)
5x+8=0 or x−2=0(Set factors equal to 0)
x=
−8
5
or x=2
Check answers. (Plug them in to make sure they work.)
x=
−8
5
(Works in original equation)
x=2(Doesn't work in original equation)
