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 = 30
5x2 = 30

Divide each side by '5'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}