24x^2-55-24=0

Solution for 24x^2-55-24=0 equation:

Simplifying
24x2 + -55 + -24 = 0

Reorder the terms:
-55 + -24 + 24x2 = 0

Combine like terms: -55 + -24 = -79
-79 + 24x2 = 0

Solving
-79 + 24x2 = 0

Solving for variable 'x'.

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

Add '79' to each side of the equation.
-79 + 79 + 24x2 = 0 + 79

Combine like terms: -79 + 79 = 0
0 + 24x2 = 0 + 79
24x2 = 0 + 79

Combine like terms: 0 + 79 = 79
24x2 = 79

Divide each side by '24'.
x2 = 3.291666667

Simplifying
x2 = 3.291666667

Take the square root of each side:
x = {-1.814295088, 1.814295088}