5x^2+6=24

Solution for 5x^2+6=24 equation:

Simplifying
5x2 + 6 = 24

Reorder the terms:
6 + 5x2 = 24

Solving
6 + 5x2 = 24

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 = 24 + -6

Combine like terms: 6 + -6 = 0
0 + 5x2 = 24 + -6
5x2 = 24 + -6

Combine like terms: 24 + -6 = 18
5x2 = 18

Divide each side by '5'.
x2 = 3.6

Simplifying
x2 = 3.6

Take the square root of each side:
x = {-1.897366596, 1.897366596}