x^2+7+43+2x^2+4=380

Solution for x^2+7+43+2x^2+4=380 equation:

Simplifying
x2 + 7 + 43 + 2x2 + 4 = 380

Reorder the terms:
7 + 43 + 4 + x2 + 2x2 = 380

Combine like terms: 7 + 43 = 50
50 + 4 + x2 + 2x2 = 380

Combine like terms: 50 + 4 = 54
54 + x2 + 2x2 = 380

Combine like terms: x2 + 2x2 = 3x2
54 + 3x2 = 380

Solving
54 + 3x2 = 380

Solving for variable 'x'.

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

Add '-54' to each side of the equation.
54 + -54 + 3x2 = 380 + -54

Combine like terms: 54 + -54 = 0
0 + 3x2 = 380 + -54
3x2 = 380 + -54

Combine like terms: 380 + -54 = 326
3x2 = 326

Divide each side by '3'.
x2 = 108.6666667

Simplifying
x2 = 108.6666667

Take the square root of each side:
x = {-10.424330516, 10.424330516}