6x^2-45-24=0

Solution for 6x^2-45-24=0 equation:

Simplifying
6x2 + -45 + -24 = 0

Reorder the terms:
-45 + -24 + 6x2 = 0

Combine like terms: -45 + -24 = -69
-69 + 6x2 = 0

Solving
-69 + 6x2 = 0

Solving for variable 'x'.

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

Add '69' to each side of the equation.
-69 + 69 + 6x2 = 0 + 69

Combine like terms: -69 + 69 = 0
0 + 6x2 = 0 + 69
6x2 = 0 + 69

Combine like terms: 0 + 69 = 69
6x2 = 69

Divide each side by '6'.
x2 = 11.5

Simplifying
x2 = 11.5

Take the square root of each side:
x = {-3.391164992, 3.391164992}