x^2+3x^2-105=-5

Solution for x^2+3x^2-105=-5 equation:

Simplifying
x2 + 3x2 + -105 = -5

Reorder the terms:
-105 + x2 + 3x2 = -5

Combine like terms: x2 + 3x2 = 4x2
-105 + 4x2 = -5

Solving
-105 + 4x2 = -5

Solving for variable 'x'.

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

Add '105' to each side of the equation.
-105 + 105 + 4x2 = -5 + 105

Combine like terms: -105 + 105 = 0
0 + 4x2 = -5 + 105
4x2 = -5 + 105

Combine like terms: -5 + 105 = 100
4x2 = 100

Divide each side by '4'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}