2x^2+6=48

Solution for 2x^2+6=48 equation:

Simplifying
2x2 + 6 = 48

Reorder the terms:
6 + 2x2 = 48

Solving
6 + 2x2 = 48

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 2x2 = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 48 + -6
2x2 = 48 + -6

Combine like terms: 48 + -6 = 42
2x2 = 42

Divide each side by '2'.
x2 = 21

Simplifying
x2 = 21

Take the square root of each side:
x = {-4.582575695, 4.582575695}