-5j(5j+6)=30

Solution for -5j(5j+6)=30 equation:

Simplifying
-5j(5j + 6) = 30

Reorder the terms:
-5j(6 + 5j) = 30
(6 * -5j + 5j * -5j) = 30
(-30j + -25j2) = 30

Solving
-30j + -25j2 = 30

Solving for variable 'j'.

Reorder the terms:
-30 + -30j + -25j2 = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + -30j + -25j2 = 0

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

Ignore the factor -5.
Subproblem 1
Set the factor '(6 + 6j + 5j2)' equal to zero and attempt to solve:

Simplifying
6 + 6j + 5j2 = 0

Solving
6 + 6j + 5j2 = 0

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1.2 + 1.2j + j2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + 1.2j + -1.2 + j2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + 1.2j + j2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + 1.2j + j2 = 0 + -1.2
1.2j + j2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
1.2j + j2 = -1.2

The j term is 1.2j.  Take half its coefficient (0.6).
Square it (0.36) and add it to both sides.

Add '0.36' to each side of the equation.
1.2j + 0.36 + j2 = -1.2 + 0.36

Reorder the terms:
0.36 + 1.2j + j2 = -1.2 + 0.36

Combine like terms: -1.2 + 0.36 = -0.84
0.36 + 1.2j + j2 = -0.84

Factor a perfect square on the left side:
(j + 0.6)(j + 0.6) = -0.84

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.