2(x^2)+4=52

Solution for 2(x^2)+4=52 equation:

Simplifying
2(x2) + 4 = 52

Reorder the terms:
4 + 2x2 = 52

Solving
4 + 2x2 = 52

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 2x2 = 52 + -4

Combine like terms: 4 + -4 = 0
0 + 2x2 = 52 + -4
2x2 = 52 + -4

Combine like terms: 52 + -4 = 48
2x2 = 48

Divide each side by '2'.
x2 = 24

Simplifying
x2 = 24

Take the square root of each side:
x = {-4.898979486, 4.898979486}