3(2+x^2)=29-2(4+x^2)

Solution for 3(2+x^2)=29-2(4+x^2) equation:

Simplifying
3(2 + x2) = 29 + -2(4 + x2)
(2 * 3 + x2 * 3) = 29 + -2(4 + x2)
(6 + 3x2) = 29 + -2(4 + x2)
6 + 3x2 = 29 + (4 * -2 + x2 * -2)
6 + 3x2 = 29 + (-8 + -2x2)

Combine like terms: 29 + -8 = 21
6 + 3x2 = 21 + -2x2

Solving
6 + 3x2 = 21 + -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 = 21 + -2x2 + 2x2

Combine like terms: 3x2 + 2x2 = 5x2
6 + 5x2 = 21 + -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
6 + 5x2 = 21 + 0
6 + 5x2 = 21

Add '-6' to each side of the equation.
6 + -6 + 5x2 = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = 21 + -6
5x2 = 21 + -6

Combine like terms: 21 + -6 = 15
5x2 = 15

Divide each side by '5'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}