3x^2+6=2x^2+16

Solution for 3x^2+6=2x^2+16 equation:

Simplifying
3x2 + 6 = 2x2 + 16

Reorder the terms:
6 + 3x2 = 2x2 + 16

Reorder the terms:
6 + 3x2 = 16 + 2x2

Solving
6 + 3x2 = 16 + 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 + 3x2 + -2x2 = 16 + 2x2 + -2x2

Combine like terms: 3x2 + -2x2 = 1x2
6 + 1x2 = 16 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
6 + 1x2 = 16 + 0
6 + 1x2 = 16

Add '-6' to each side of the equation.
6 + -6 + 1x2 = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 1x2 = 16 + -6
1x2 = 16 + -6

Combine like terms: 16 + -6 = 10
1x2 = 10

Divide each side by '1'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}