3j*3j-20j=-12

Solution for 3j*3j-20j=-12 equation:

Simplifying
3j * 3j + -20j = -12

Reorder the terms for easier multiplication:
3 * 3j * j + -20j = -12

Multiply 3 * 3
9j * j + -20j = -12

Multiply j * j
9j2 + -20j = -12

Reorder the terms:
-20j + 9j2 = -12

Solving
-20j + 9j2 = -12

Solving for variable 'j'.

Reorder the terms:
12 + -20j + 9j2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + -20j + 9j2 = 0

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

Divide each side by '9'.
1.333333333 + -2.222222222j + j2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -2.222222222j + -1.333333333 + j2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -2.222222222j + j2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -2.222222222j + j2 = 0 + -1.333333333
-2.222222222j + j2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-2.222222222j + j2 = -1.333333333

The j term is -2.222222222j.  Take half its coefficient (-1.111111111).
Square it (1.234567901) and add it to both sides.

Add '1.234567901' to each side of the equation.
-2.222222222j + 1.234567901 + j2 = -1.333333333 + 1.234567901

Reorder the terms:
1.234567901 + -2.222222222j + j2 = -1.333333333 + 1.234567901

Combine like terms: -1.333333333 + 1.234567901 = -0.098765432
1.234567901 + -2.222222222j + j2 = -0.098765432

Factor a perfect square on the left side:
(j + -1.111111111)(j + -1.111111111) = -0.098765432

Can't calculate square root of the right side.

The solution to this equation could not be determined.