2(x^2-3)=3(2x^2+1)

Solution for 2(x^2-3)=3(2x^2+1) equation:

Simplifying
2(x2 + -3) = 3(2x2 + 1)

Reorder the terms:
2(-3 + x2) = 3(2x2 + 1)
(-3 * 2 + x2 * 2) = 3(2x2 + 1)
(-6 + 2x2) = 3(2x2 + 1)

Reorder the terms:
-6 + 2x2 = 3(1 + 2x2)
-6 + 2x2 = (1 * 3 + 2x2 * 3)
-6 + 2x2 = (3 + 6x2)

Solving
-6 + 2x2 = 3 + 6x2

Solving for variable 'x'.

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

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

Combine like terms: 2x2 + -6x2 = -4x2
-6 + -4x2 = 3 + 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-6 + -4x2 = 3 + 0
-6 + -4x2 = 3

Add '6' to each side of the equation.
-6 + 6 + -4x2 = 3 + 6

Combine like terms: -6 + 6 = 0
0 + -4x2 = 3 + 6
-4x2 = 3 + 6

Combine like terms: 3 + 6 = 9
-4x2 = 9

Divide each side by '-4'.
x2 = -2.25

Simplifying
x2 = -2.25

Reorder the terms:
2.25 + x2 = -2.25 + 2.25

Combine like terms: -2.25 + 2.25 = 0.00
2.25 + x2 = 0.00

The solution to this equation could not be determined.