00:01
We're being asked to solve the given equation for x.
00:03
Well, first off, we have that fraction, so we're going to get rid of it by multiplying both sides of our equation by our common denominator, which is just 2a.
00:11
Because on the left -hand side, the two -aes will cancel out.
00:14
So that leaves us with x -1, and on the right -hand side will distribute.
00:19
Well, 2a times 2x is 4ax, 2a times negative a is negative 2a squared.
00:27
So now, what i'm going to do to get x -by -it -self, i'm going to start by adding one to both sides of the equation.
00:32
So that will give us x equals 4ax minus 2a squared plus 1.
00:39
So now i'm going to get my x terms on the same side of the equation by subtracting 4ax from both sides, because on the right -hand side, those terms will cancel.
00:49
So we'll have x minus 4ax equals negative 2a squared plus 1...