Question

Solve the following quadratic equation for all values of xx in simplest form.
4, left parenthesis, x, squared, minus, 8, right parenthesis, minus, 6, equals, minus, 2
4(x
2
−8)−6=
−2

Answer 1

Start with the equation:
4(x^2 − 8) − 6 = −2

Distribute and simplify:
4x^2 − 32 − 6 = −2
4x^2 − 38 = −2
4x^2 − 36 = 0

Divide by 4:
x^2 − 9 = 0

Factor:
(x − 3)(x + 3) = 0

So the solutions are:
x = 3 or x = −3.