6x^2-60+24=0

Solution for 6x^2-60+24=0 equation:

Simplifying
6x2 + -60 + 24 = 0

Reorder the terms:
-60 + 24 + 6x2 = 0

Combine like terms: -60 + 24 = -36
-36 + 6x2 = 0

Solving
-36 + 6x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 6x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 6x2 = 0 + 36
6x2 = 0 + 36

Combine like terms: 0 + 36 = 36
6x2 = 36

Divide each side by '6'.
x2 = 6

Simplifying
x2 = 6

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