Solve the equation: `frac{x}{2}=frac{x}{3}+1` ?

solve the equations: frac{2}{sqrt x} + frac{3}{sqrt y} =2 and frac{4}{sqrt x} - frac{9}{sqrt y} =-1

Solve the equation 5^(x^(2)+3x+2)=1

Solve the equation abs(2x-1)=3absx+2x

Solve the equation x(x+2)(x^2-1)=-1.

Solve the equation x(x+2)(x^2-1)=-1.

If the roots of the equation frac{alpha}{x-alpha}+frac{beta}{x-beta}=1 be equal in magnitude but opposite in sign , then alpha+beta is equal to

Prove that Cos frac{pi}{5} + Cos frac{2pi}{5} + Cos frac{6pi}{5} + Cos frac{7pi}{5} = 0

Solve the equation x/2+((3x-1))/6=1-x/2

int frac{dx}{(1-x)sqrtx}

Solve the equation: 2^(2x+3)+2^(x+3)=1+2^(x) .