5.56-.01x^2=3+.03x^2

Solution for 5.56-.01x^2=3+.03x^2 equation:

Simplifying
5.56 + -0.01x2 = 3 + 0.03x2

Solving
5.56 + -0.01x2 = 3 + 0.03x2

Solving for variable 'x'.

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

Add '-0.03x2' to each side of the equation.
5.56 + -0.01x2 + -0.03x2 = 3 + 0.03x2 + -0.03x2

Combine like terms: -0.01x2 + -0.03x2 = -0.04x2
5.56 + -0.04x2 = 3 + 0.03x2 + -0.03x2

Combine like terms: 0.03x2 + -0.03x2 = 0.00
5.56 + -0.04x2 = 3 + 0.00
5.56 + -0.04x2 = 3

Add '-5.56' to each side of the equation.
5.56 + -5.56 + -0.04x2 = 3 + -5.56

Combine like terms: 5.56 + -5.56 = 0.00
0.00 + -0.04x2 = 3 + -5.56
-0.04x2 = 3 + -5.56

Combine like terms: 3 + -5.56 = -2.56
-0.04x2 = -2.56

Divide each side by '-0.04'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}