2x^2+1=10

Solution for 2x^2+1=10 equation:

Simplifying
2x2 + 1 = 10

Reorder the terms:
1 + 2x2 = 10

Solving
1 + 2x2 = 10

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 = 10 + -1

Combine like terms: 1 + -1 = 0
0 + 2x2 = 10 + -1
2x2 = 10 + -1

Combine like terms: 10 + -1 = 9
2x2 = 9

Divide each side by '2'.
x2 = 4.5

Simplifying
x2 = 4.5

Take the square root of each side:
x = {-2.121320344, 2.121320344}