5x^2-6=54

Solution for 5x^2-6=54 equation:

Simplifying
5x2 + -6 = 54

Reorder the terms:
-6 + 5x2 = 54

Solving
-6 + 5x2 = 54

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 + 5x2 = 54 + 6

Combine like terms: -6 + 6 = 0
0 + 5x2 = 54 + 6
5x2 = 54 + 6

Combine like terms: 54 + 6 = 60
5x2 = 60

Divide each side by '5'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}