2x^2+3x^2-8.5=22.75

Solution for 2x^2+3x^2-8.5=22.75 equation:

Simplifying
2x2 + 3x2 + -8.5 = 22.75

Reorder the terms:
-8.5 + 2x2 + 3x2 = 22.75

Combine like terms: 2x2 + 3x2 = 5x2
-8.5 + 5x2 = 22.75

Solving
-8.5 + 5x2 = 22.75

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 = 22.75 + 8.5

Combine like terms: -8.5 + 8.5 = 0.0
0.0 + 5x2 = 22.75 + 8.5
5x2 = 22.75 + 8.5

Combine like terms: 22.75 + 8.5 = 31.25
5x2 = 31.25

Divide each side by '5'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}