X*3X-1=310

Solution for X*3X-1=310 equation:

Simplifying
X * 3X + -1 = 310

Reorder the terms for easier multiplication:
3X * X + -1 = 310

Multiply X * X
3X2 + -1 = 310

Reorder the terms:
-1 + 3X2 = 310

Solving
-1 + 3X2 = 310

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 + 3X2 = 310 + 1

Combine like terms: -1 + 1 = 0
0 + 3X2 = 310 + 1
3X2 = 310 + 1

Combine like terms: 310 + 1 = 311
3X2 = 311

Divide each side by '3'.
X2 = 103.6666667

Simplifying
X2 = 103.6666667

Take the square root of each side:
X = {-10.181682901, 10.181682901}