2x^2+x^2-24=0

Solution for 2x^2+x^2-24=0 equation:

Simplifying
2x2 + x2 + -24 = 0

Reorder the terms:
-24 + 2x2 + x2 = 0

Combine like terms: 2x2 + x2 = 3x2
-24 + 3x2 = 0

Solving
-24 + 3x2 = 0

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 3x2 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 3x2 = 0 + 24
3x2 = 0 + 24

Combine like terms: 0 + 24 = 24
3x2 = 24

Divide each side by '3'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}