I need to solve the equation please help me

Step-by-step explanation:

We are given the equation:

First, we can divide everything by 2:

Notice that we have an equation in quadratic form. Namely, if we make a substitution where u = sin(x), we acquire:

Solve for u. Factor:

Zero Product Property:

Solving for both cases:

And by substitution:

For the first case, recall that sin(x) is -1/2 for every 7π/6 and every 11π/6. Hence, for the first case, our solutions are:

Where n is an integer.

For the second case, sin(x) is -1 for every 3π/2. Thus:

All together, our solutions are:

it is a horizontal line.