9=2x*x+1

Solution for 9=2x*x+1 equation:

Simplifying
9 = 2x * x + 1

Multiply x * x
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}