0.25x^2+1=33

Solution for 0.25x^2+1=33 equation:

Simplifying
0.25x2 + 1 = 33

Reorder the terms:
1 + 0.25x2 = 33

Solving
1 + 0.25x2 = 33

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 0.25x2 = 33 + -1

Combine like terms: 1 + -1 = 0
0 + 0.25x2 = 33 + -1
0.25x2 = 33 + -1

Combine like terms: 33 + -1 = 32
0.25x2 = 32

Divide each side by '0.25'.
x2 = 128

Simplifying
x2 = 128

Take the square root of each side:
x = {-11.313708499, 11.313708499}