12=3x^2+1

Solution for 12=3x^2+1 equation:

Simplifying
12 = 3x2 + 1

Reorder the terms:
12 = 1 + 3x2

Solving
12 = 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.
12 + -3x2 = 1 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
12 + -3x2 = 1 + 0
12 + -3x2 = 1

Add '-12' to each side of the equation.
12 + -12 + -3x2 = 1 + -12

Combine like terms: 12 + -12 = 0
0 + -3x2 = 1 + -12
-3x2 = 1 + -12

Combine like terms: 1 + -12 = -11
-3x2 = -11

Divide each side by '-3'.
x2 = 3.666666667

Simplifying
x2 = 3.666666667

Take the square root of each side:
x = {-1.914854216, 1.914854216}