0.9x^2=5x^2-2.2

Solution for 0.9x^2=5x^2-2.2 equation:

Simplifying
0.9x2 = 5x2 + -2.2

Reorder the terms:
0.9x2 = -2.2 + 5x2

Solving
0.9x2 = -2.2 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
0.9x2 + -5x2 = -2.2 + 5x2 + -5x2

Combine like terms: 0.9x2 + -5x2 = -4.1x2
-4.1x2 = -2.2 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-4.1x2 = -2.2 + 0
-4.1x2 = -2.2

Divide each side by '-4.1'.
x2 = 0.5365853659

Simplifying
x2 = 0.5365853659

Take the square root of each side:
x = {-0.732519874, 0.732519874}