3x^2-51-17=0

Solution for 3x^2-51-17=0 equation:

Simplifying
3x2 + -51 + -17 = 0

Reorder the terms:
-51 + -17 + 3x2 = 0

Combine like terms: -51 + -17 = -68
-68 + 3x2 = 0

Solving
-68 + 3x2 = 0

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 3x2 = 0 + 68

Combine like terms: -68 + 68 = 0
0 + 3x2 = 0 + 68
3x2 = 0 + 68

Combine like terms: 0 + 68 = 68
3x2 = 68

Divide each side by '3'.
x2 = 22.66666667

Simplifying
x2 = 22.66666667

Take the square root of each side:
x = {-4.760952286, 4.760952286}