3+2(x^2-3)+3x^2=408

Solution for 3+2(x^2-3)+3x^2=408 equation:

Simplifying
3 + 2(x2 + -3) + 3x2 = 408

Reorder the terms:
3 + 2(-3 + x2) + 3x2 = 408
3 + (-3 * 2 + x2 * 2) + 3x2 = 408
3 + (-6 + 2x2) + 3x2 = 408

Combine like terms: 3 + -6 = -3
-3 + 2x2 + 3x2 = 408

Combine like terms: 2x2 + 3x2 = 5x2
-3 + 5x2 = 408

Solving
-3 + 5x2 = 408

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x2 = 408 + 3

Combine like terms: -3 + 3 = 0
0 + 5x2 = 408 + 3
5x2 = 408 + 3

Combine like terms: 408 + 3 = 411
5x2 = 411

Divide each side by '5'.
x2 = 82.2

Simplifying
x2 = 82.2

Take the square root of each side:
x = {-9.066421565, 9.066421565}