24/(x+1) + 12/(4-x) = 14
Multiply both sides by (4-x)(x+1)
24(4-x) + 12(x+1) = 14(4-x)(x+1)
96 - 12x + 12 = -14(x^2 -3x -4)
= -14x^2 +42 x +56
Combine terms and solve for x.

sorry guys, here's another.I'm not the greatest at math but i do know some...

The rectangle given has a perimeter of 14 units. Find the value(s) of x by factoring a quadriatic equation.
one side= 12/(x+1)
other side= 6/(4-x)

thanks for your help.

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