Solve for the variable write your answers as integers or as proper or improper fractions in simplest form 5x^2-16=4

To solve the equation 5x^2 - 16 = 4, we need to isolate the variable x.

First, add 16 to both sides of the equation:
5x^2 - 16 + 16 = 4 + 16
5x^2 = 20

Next, divide both sides by 5 to solve for x:
5x^2 / 5 = 20 / 5
x^2 = 4

Taking the square root of both sides, we get:
√(x^2) = √4
x = ±2

So, the solutions for the variable x are:
x = 2
x = -2