9=2X^2+1

Solution for 9=2X^2+1 equation:

Simplifying
9 = 2X2 + 1

Reorder the terms:
9 = 1 + 2X2

Solving
9 = 1 + 2X2

Solving for variable 'X'.

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

Add '-2X2' to each side of the equation.
9 + -2X2 = 1 + 2X2 + -2X2

Combine like terms: 2X2 + -2X2 = 0
9 + -2X2 = 1 + 0
9 + -2X2 = 1

Add '-9' to each side of the equation.
9 + -9 + -2X2 = 1 + -9

Combine like terms: 9 + -9 = 0
0 + -2X2 = 1 + -9
-2X2 = 1 + -9

Combine like terms: 1 + -9 = -8
-2X2 = -8

Divide each side by '-2'.
X2 = 4

Simplifying
X2 = 4

Take the square root of each side:
X = {-2, 2}