4x^2-300=24

Solution for 4x^2-300=24 equation:

Simplifying
4x2 + -300 = 24

Reorder the terms:
-300 + 4x2 = 24

Solving
-300 + 4x2 = 24

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '300' to each side of the equation.
-300 + 300 + 4x2 = 24 + 300

Combine like terms: -300 + 300 = 0
0 + 4x2 = 24 + 300
4x2 = 24 + 300

Combine like terms: 24 + 300 = 324
4x2 = 324

Divide each side by '4'.
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}