4j^2+6=11j

Solution for 4j^2+6=11j equation:

Simplifying
4j2 + 6 = 11j

Reorder the terms:
6 + 4j2 = 11j

Solving
6 + 4j2 = 11j

Solving for variable 'j'.

Reorder the terms:
6 + -11j + 4j2 = 11j + -11j

Combine like terms: 11j + -11j = 0
6 + -11j + 4j2 = 0

Factor a trinomial.
(3 + -4j)(2 + -1j) = 0

Subproblem 1
Set the factor '(3 + -4j)' equal to zero and attempt to solve:

Simplifying
3 + -4j = 0

Solving
3 + -4j = 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 + -4j = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4j = 0 + -3
-4j = 0 + -3

Combine like terms: 0 + -3 = -3
-4j = -3

Divide each side by '-4'.
j = 0.75

Simplifying
j = 0.75
Subproblem 2
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
Solution
j = {0.75, 2}