3x^2-3=2x^2+51

Solution for 3x^2-3=2x^2+51 equation:

Simplifying
3x2 + -3 = 2x2 + 51

Reorder the terms:
-3 + 3x2 = 2x2 + 51

Reorder the terms:
-3 + 3x2 = 51 + 2x2

Solving
-3 + 3x2 = 51 + 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-3 + 3x2 + -2x2 = 51 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
-3 + 1x2 = 51 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3 + 1x2 = 51 + 0
-3 + 1x2 = 51

Add '3' to each side of the equation.
-3 + 3 + 1x2 = 51 + 3

Combine like terms: -3 + 3 = 0
0 + 1x2 = 51 + 3
1x2 = 51 + 3

Combine like terms: 51 + 3 = 54
1x2 = 54

Divide each side by '1'.
x2 = 54

Simplifying
x2 = 54

Take the square root of each side:
x = {-7.348469228, 7.348469228}