5x^2+6=506

Solution for 5x^2+6=506 equation:

Simplifying
5x2 + 6 = 506

Reorder the terms:
6 + 5x2 = 506

Solving
6 + 5x2 = 506

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 = 506 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = 506 + -6
5x2 = 506 + -6

Combine like terms: 506 + -6 = 500
5x2 = 500

Divide each side by '5'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}