Solve the following quadratic equation for all values of xx in simplest form.
5, left bracket, x, plus, 6, right bracket, squared, minus, 48, equals, minus, 28
5(x+6)
2
−48=
−28
5(x+6)² - 48 = -28
5(x+6)² = 20
(x+6)² = 4
x + 6 = ±2
x = -6 ± 2
x = -4, -8
The solution is x = -4 or x = -8.