Solve the equation If there is no solution enter NO SOLUTION

Solve the equation. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.) 3 2x + 4 + 5 2x 4 = 16x + 8 4x2 16 x = If there are infinitely many solutions, give the restrictions on x as a comma separated list. (If there are not infinitely many solutions or there are no restrictions on x, enter NONE.)

Solution

The given equation is 32x+4+52x-4=16x+84x^2-16x

On simplification, the given equation yields 84x=84x^2

This gives, x-x^2=0

i.e. x(1-x)=0

i.e. x=1,0

So, the solutions are x=0 and x=1