-44.2x^2-6=-20.6x^2-23.8

Solution for -44.2x^2-6=-20.6x^2-23.8 equation:

Simplifying
-44.2x2 + -6 = -20.6x2 + -23.8

Reorder the terms:
-6 + -44.2x2 = -20.6x2 + -23.8

Reorder the terms:
-6 + -44.2x2 = -23.8 + -20.6x2

Solving
-6 + -44.2x2 = -23.8 + -20.6x2

Solving for variable 'x'.

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

Add '20.6x2' to each side of the equation.
-6 + -44.2x2 + 20.6x2 = -23.8 + -20.6x2 + 20.6x2

Combine like terms: -44.2x2 + 20.6x2 = -23.6x2
-6 + -23.6x2 = -23.8 + -20.6x2 + 20.6x2

Combine like terms: -20.6x2 + 20.6x2 = 0.0
-6 + -23.6x2 = -23.8 + 0.0
-6 + -23.6x2 = -23.8

Add '6' to each side of the equation.
-6 + 6 + -23.6x2 = -23.8 + 6

Combine like terms: -6 + 6 = 0
0 + -23.6x2 = -23.8 + 6
-23.6x2 = -23.8 + 6

Combine like terms: -23.8 + 6 = -17.8
-23.6x2 = -17.8

Divide each side by '-23.6'.
x2 = 0.7542372881

Simplifying
x2 = 0.7542372881

Take the square root of each side:
x = {-0.868468358, 0.868468358}