2x^2+1=50

Solution for 2x^2+1=50 equation:

Simplifying
2x2 + 1 = 50

Reorder the terms:
1 + 2x2 = 50

Solving
1 + 2x2 = 50

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 2x2 = 50 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 50 + -1
2x2 = 50 + -1

Combine like terms: 50 + -1 = 49
2x2 = 49

Divide each side by '2'.
x2 = 24.5

Simplifying
x2 = 24.5

Take the square root of each side:
x = {-4.949747468, 4.949747468}