(0.02x^2+5)=5.50

Solution for (0.02x^2+5)=5.50 equation:

Simplifying
(0.02x2 + 5) = 5.50

Reorder the terms:
(5 + 0.02x2) = 5.50

Remove parenthesis around (5 + 0.02x2)
5 + 0.02x2 = 5.50

Solving
5 + 0.02x2 = 5.50

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 0.02x2 = 5.50 + -5

Combine like terms: 5 + -5 = 0
0 + 0.02x2 = 5.50 + -5
0.02x2 = 5.50 + -5

Combine like terms: 5.50 + -5 = 0.5
0.02x2 = 0.5

Divide each side by '0.02'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}