solve for x quadratic equation
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2/(x-3) + 5/(x+5) =3/2
taking lcm
(2(x+5) + 5(x-3))/((x-3)(x+5)) = 3/2
(2x+10+5x-15)/(x^2+2x-15)=3/2
(7x-5)/(x^2+2x-15)=3/2
cross multiplying
3(x^2+2x-15)=2(7x-5)
3x^2+6x-45=14x-10
3x^2-8x-35=0
x=(8+-√(64-4(3)(-35)))/(2*3)
x=(8+-√484)/6
x=(8+-22)/6
x=30/6 , -7/3
x= 5, -7/3
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