2x^2=3x^2-6

Solution for 2x^2=3x^2-6 equation:

Simplifying
2x2 = 3x2 + -6

Reorder the terms:
2x2 = -6 + 3x2

Solving
2x2 = -6 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
2x2 + -3x2 = -6 + 3x2 + -3x2

Combine like terms: 2x2 + -3x2 = -1x2
-1x2 = -6 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1x2 = -6 + 0
-1x2 = -6

Divide each side by '-1'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}