5x^2+6=16

Solution for 5x^2+6=16 equation:

Simplifying
5x2 + 6 = 16

Reorder the terms:
6 + 5x2 = 16

Solving
6 + 5x2 = 16

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 = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = 16 + -6
5x2 = 16 + -6

Combine like terms: 16 + -6 = 10
5x2 = 10

Divide each side by '5'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}