10=3x^2+1

Solution for 10=3x^2+1 equation:

Simplifying
10 = 3x2 + 1

Reorder the terms:
10 = 1 + 3x2

Solving
10 = 1 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
10 + -3x2 = 1 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
10 + -3x2 = 1 + 0
10 + -3x2 = 1

Add '-10' to each side of the equation.
10 + -10 + -3x2 = 1 + -10

Combine like terms: 10 + -10 = 0
0 + -3x2 = 1 + -10
-3x2 = 1 + -10

Combine like terms: 1 + -10 = -9
-3x2 = -9

Divide each side by '-3'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}