2x^2+1=162

Solution for 2x^2+1=162 equation:

Simplifying
2x2 + 1 = 162

Reorder the terms:
1 + 2x2 = 162

Solving
1 + 2x2 = 162

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 = 162 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 162 + -1
2x2 = 162 + -1

Combine like terms: 162 + -1 = 161
2x2 = 161

Divide each side by '2'.
x2 = 80.5

Simplifying
x2 = 80.5

Take the square root of each side:
x = {-8.972179222, 8.972179222}