4x^2-6=2x^2+3

Solution for 4x^2-6=2x^2+3 equation:

Simplifying
4x2 + -6 = 2x2 + 3

Reorder the terms:
-6 + 4x2 = 2x2 + 3

Reorder the terms:
-6 + 4x2 = 3 + 2x2

Solving
-6 + 4x2 = 3 + 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.
-6 + 4x2 + -2x2 = 3 + 2x2 + -2x2

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

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

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

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

Combine like terms: 3 + 6 = 9
2x2 = 9

Divide each side by '2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}