3*4x^2+1=16

Solution for 3*4x^2+1=16 equation:

Simplifying
3 * 4x2 + 1 = 16

Multiply 3 * 4
12x2 + 1 = 16

Reorder the terms:
1 + 12x2 = 16

Solving
1 + 12x2 = 16

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 + 12x2 = 16 + -1

Combine like terms: 1 + -1 = 0
0 + 12x2 = 16 + -1
12x2 = 16 + -1

Combine like terms: 16 + -1 = 15
12x2 = 15

Divide each side by '12'.
x2 = 1.25

Simplifying
x2 = 1.25

Take the square root of each side:
x = {-1.118033989, 1.118033989}