0.66666667x^2-6=30

Solution for 0.66666667x^2-6=30 equation:

Simplifying
0.66666667x2 + -6 = 30

Reorder the terms:
-6 + 0.66666667x2 = 30

Solving
-6 + 0.66666667x2 = 30

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 0.66666667x2 = 30 + 6

Combine like terms: -6 + 6 = 0
0 + 0.66666667x2 = 30 + 6
0.66666667x2 = 30 + 6

Combine like terms: 30 + 6 = 36
0.66666667x2 = 36

Divide each side by '0.66666667'.
x2 = 53.99999973

Simplifying
x2 = 53.99999973

Take the square root of each side:
x = {-7.34846921, 7.34846921}