Solve the following quadratic equation for all values of xx in simplest form.

4, left bracket, x, squared, minus, 6, right bracket, minus, 3, equals, 9
4(x
2
−6)−3=
9

4x^2 - 24 - 3 = 9

4x^2 - 27 = 9
4x^2 = 36
x^2 = 9
x = ±3

Therefore, the values of x in simplest form are x = 3 and x = -3.