4x^2-80=1

Solution for 4x^2-80=1 equation:

Simplifying
4x2 + -80 = 1

Reorder the terms:
-80 + 4x2 = 1

Solving
-80 + 4x2 = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '80' to each side of the equation.
-80 + 80 + 4x2 = 1 + 80

Combine like terms: -80 + 80 = 0
0 + 4x2 = 1 + 80
4x2 = 1 + 80

Combine like terms: 1 + 80 = 81
4x2 = 81

Divide each side by '4'.
x2 = 20.25

Simplifying
x2 = 20.25

Take the square root of each side:
x = {-4.5, 4.5}