2x^2+3x^2-8.5=22.77

Solution for 2x^2+3x^2-8.5=22.77 equation:

Simplifying
2x2 + 3x2 + -8.5 = 22.77

Reorder the terms:
-8.5 + 2x2 + 3x2 = 22.77

Combine like terms: 2x2 + 3x2 = 5x2
-8.5 + 5x2 = 22.77

Solving
-8.5 + 5x2 = 22.77

Solving for variable 'x'.

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

Add '8.5' to each side of the equation.
-8.5 + 8.5 + 5x2 = 22.77 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + 5x2 = 22.77 + 8.5
5x2 = 22.77 + 8.5

Combine like terms: 22.77 + 8.5 = 31.27
5x2 = 31.27

Divide each side by '5'.
x2 = 6.254

Simplifying
x2 = 6.254

Take the square root of each side:
x = {-2.500799872, 2.500799872}