6j^2-30j+36=

Solution for 6j^2-30j+36= equation:

Simplifying
6j2 + -30j + 36 = 0

Reorder the terms:
36 + -30j + 6j2 = 0

Solving
36 + -30j + 6j2 = 0

Solving for variable 'j'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -5j + j2) = 0

Factor a trinomial.
6((2 + -1j)(3 + -1j)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(2 + -1j)' equal to zero and attempt to solve:

Simplifying
2 + -1j = 0

Solving
2 + -1j = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1j = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1j = 0 + -2
-1j = 0 + -2

Combine like terms: 0 + -2 = -2
-1j = -2

Divide each side by '-1'.
j = 2

Simplifying
j = 2
Subproblem 2
Set the factor '(3 + -1j)' equal to zero and attempt to solve:

Simplifying
3 + -1j = 0

Solving
3 + -1j = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1j = 0 + -3
-1j = 0 + -3

Combine like terms: 0 + -3 = -3
-1j = -3

Divide each side by '-1'.
j = 3

Simplifying
j = 3
Solution
j = {2, 3}