1.2x^2-5.6=0.8x^2-2.3

Solution for 1.2x^2-5.6=0.8x^2-2.3 equation:

Simplifying
1.2x2 + -5.6 = 0.8x2 + -2.3

Reorder the terms:
-5.6 + 1.2x2 = 0.8x2 + -2.3

Reorder the terms:
-5.6 + 1.2x2 = -2.3 + 0.8x2

Solving
-5.6 + 1.2x2 = -2.3 + 0.8x2

Solving for variable 'x'.

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

Add '-0.8x2' to each side of the equation.
-5.6 + 1.2x2 + -0.8x2 = -2.3 + 0.8x2 + -0.8x2

Combine like terms: 1.2x2 + -0.8x2 = 0.4x2
-5.6 + 0.4x2 = -2.3 + 0.8x2 + -0.8x2

Combine like terms: 0.8x2 + -0.8x2 = 0.0
-5.6 + 0.4x2 = -2.3 + 0.0
-5.6 + 0.4x2 = -2.3

Add '5.6' to each side of the equation.
-5.6 + 5.6 + 0.4x2 = -2.3 + 5.6

Combine like terms: -5.6 + 5.6 = 0.0
0.0 + 0.4x2 = -2.3 + 5.6
0.4x2 = -2.3 + 5.6

Combine like terms: -2.3 + 5.6 = 3.3
0.4x2 = 3.3

Divide each side by '0.4'.
x2 = 8.25

Simplifying
x2 = 8.25

Take the square root of each side:
x = {-2.872281323, 2.872281323}