1=3x^2-16

Solution for 1=3x^2-16 equation:

Simplifying
1 = 3x2 + -16

Reorder the terms:
1 = -16 + 3x2

Solving
1 = -16 + 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.
1 + -3x2 = -16 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
1 + -3x2 = -16 + 0
1 + -3x2 = -16

Add '-1' to each side of the equation.
1 + -1 + -3x2 = -16 + -1

Combine like terms: 1 + -1 = 0
0 + -3x2 = -16 + -1
-3x2 = -16 + -1

Combine like terms: -16 + -1 = -17
-3x2 = -17

Divide each side by '-3'.
x2 = 5.666666667

Simplifying
x2 = 5.666666667

Take the square root of each side:
x = {-2.380476143, 2.380476143}