0.2(x^2+4)=1

Solution for 0.2(x^2+4)=1 equation:

Simplifying
0.2(x2 + 4) = 1

Reorder the terms:
0.2(4 + x2) = 1
(4 * 0.2 + x2 * 0.2) = 1
(0.8 + 0.2x2) = 1

Solving
0.8 + 0.2x2 = 1

Solving for variable 'x'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + 0.2x2 = 1 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + 0.2x2 = 1 + -0.8
0.2x2 = 1 + -0.8

Combine like terms: 1 + -0.8 = 0.2
0.2x2 = 0.2

Divide each side by '0.2'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}