1600=3x^2+x^2

Solution for 1600=3x^2+x^2 equation:

Simplifying
1600 = 3x2 + x2

Combine like terms: 3x2 + x2 = 4x2
1600 = 4x2

Solving
1600 = 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
1600 + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
1600 + -4x2 = 0

Add '-1600' to each side of the equation.
1600 + -1600 + -4x2 = 0 + -1600

Combine like terms: 1600 + -1600 = 0
0 + -4x2 = 0 + -1600
-4x2 = 0 + -1600

Combine like terms: 0 + -1600 = -1600
-4x2 = -1600

Divide each side by '-4'.
x2 = 400

Simplifying
x2 = 400

Take the square root of each side:
x = {-20, 20}