2x^2+1=151

Solution for 2x^2+1=151 equation:

Simplifying
2x2 + 1 = 151

Reorder the terms:
1 + 2x2 = 151

Solving
1 + 2x2 = 151

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 = 151 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 151 + -1
2x2 = 151 + -1

Combine like terms: 151 + -1 = 150
2x2 = 150

Divide each side by '2'.
x2 = 75

Simplifying
x2 = 75

Take the square root of each side:
x = {-8.660254038, 8.660254038}