6X^2+144=60X

Solution for 6X^2+144=60X equation:

Simplifying
6X2 + 144 = 60X

Reorder the terms:
144 + 6X2 = 60X

Solving
144 + 6X2 = 60X

Solving for variable 'X'.

Reorder the terms:
144 + -60X + 6X2 = 60X + -60X

Combine like terms: 60X + -60X = 0
144 + -60X + 6X2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(24 + -10X + X2) = 0

Factor a trinomial.
6((4 + -1X)(6 + -1X)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(4 + -1X)' equal to zero and attempt to solve:

Simplifying
4 + -1X = 0

Solving
4 + -1X = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1X = 0 + -4
-1X = 0 + -4

Combine like terms: 0 + -4 = -4
-1X = -4

Divide each side by '-1'.
X = 4

Simplifying
X = 4
Subproblem 2
Set the factor '(6 + -1X)' equal to zero and attempt to solve:

Simplifying
6 + -1X = 0

Solving
6 + -1X = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1X = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1X = 0 + -6
-1X = 0 + -6

Combine like terms: 0 + -6 = -6
-1X = -6

Divide each side by '-1'.
X = 6

Simplifying
X = 6
Solution
X = {4, 6}