Question

Please help me asap i have other questions that you can answer too, please help me

Answer 1

Answer:

Step-by-step explanation:

$(2x - 3)^{2} = 4x - 6$

Using FOIL, we can expand the polynomial on the left-hand side of the equation:

$4x^{2} - 12x + 9 = 4x - 6$

Next, let's move all of the terms to the left-hand side of the equation and combine like terms:

$4x^{2} - 12x - 4x + 9 + 6 = 0$

$4x^{2} - 16x + 15 = 0$

Now we can factor the quadratic:

$(2x - 5)(2x - 3) = 0$

This produces two equations to give us the two solutions:

The first solution:

$2x - 5 = 0$

$2x = 5$

$x = \frac{5}{2}$

and the second solution:

$2x - 3 = 0$

$2x = 3$

$x = \frac{3}{2}$

So the solutions to this problem are $x = \frac{3}{2}, \frac{5}{2}$