Solve the following quadratic equation for all values of xx in simplest form.
4, minus, 2, x, squared, equals, minus, 14
4−2x
2
=
−14
First, we will isolate the term containing x:
4 - 2x^2 = -14
Subtract 4 from both sides:
-2x^2 = -18
Divide by -2:
x^2 = 9
Take the square root of both sides:
x = ±3
Therefore, the solutions for the quadratic equation are x = 3 and x = -3.