a(x^2-3)-2(x^2-3)=0

Solution for a(x^2-3)-2(x^2-3)=0 equation:

Simplifying
a(x2 + -3) + -2(x2 + -3) = 0

Reorder the terms:
a(-3 + x2) + -2(x2 + -3) = 0
(-3 * a + x2 * a) + -2(x2 + -3) = 0
(-3a + ax2) + -2(x2 + -3) = 0

Reorder the terms:
-3a + ax2 + -2(-3 + x2) = 0
-3a + ax2 + (-3 * -2 + x2 * -2) = 0
-3a + ax2 + (6 + -2x2) = 0

Reorder the terms:
6 + -3a + ax2 + -2x2 = 0

Solving
6 + -3a + ax2 + -2x2 = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -3a + ax2 + -6 + -2x2 = 0 + -6

Reorder the terms:
6 + -6 + -3a + ax2 + -2x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -3a + ax2 + -2x2 = 0 + -6
-3a + ax2 + -2x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-3a + ax2 + -2x2 = -6

Add '2x2' to each side of the equation.
-3a + ax2 + -2x2 + 2x2 = -6 + 2x2

Combine like terms: -2x2 + 2x2 = 0
-3a + ax2 + 0 = -6 + 2x2
-3a + ax2 = -6 + 2x2

Reorder the terms:
6 + -3a + ax2 + -2x2 = -6 + 2x2 + 6 + -2x2

Reorder the terms:
6 + -3a + ax2 + -2x2 = -6 + 6 + 2x2 + -2x2

Combine like terms: -6 + 6 = 0
6 + -3a + ax2 + -2x2 = 0 + 2x2 + -2x2
6 + -3a + ax2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + -3a + ax2 + -2x2 = 0

The solution to this equation could not be determined.