5j-3j*5j=10

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Solution for 5j-3j*5j=10 equation: 


Simplifying
5j + -3j * 5j = 10

Reorder the terms for easier multiplication:
5j + -3 * 5j * j = 10

Multiply -3 * 5
5j + -15j * j = 10

Multiply j * j
5j + -15j2 = 10

Solving
5j + -15j2 = 10

Solving for variable 'j'.

Reorder the terms:
-10 + 5j + -15j2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 5j + -15j2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-2 + j + -3j2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(-2 + j + -3j2)' equal to zero and attempt to solve:

Simplifying
-2 + j + -3j2 = 0

Solving
-2 + j + -3j2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
0.6666666667 + -0.3333333333j + j2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.3333333333j + -0.6666666667 + j2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.3333333333j + j2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.3333333333j + j2 = 0 + -0.6666666667
-0.3333333333j + j2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.3333333333j + j2 = -0.6666666667

The j term is j.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-0.3333333333j + 0.25 + j2 = -0.6666666667 + 0.25

Reorder the terms:
0.25 + -0.3333333333j + j2 = -0.6666666667 + 0.25

Combine like terms: -0.6666666667 + 0.25 = -0.4166666667
0.25 + -0.3333333333j + j2 = -0.4166666667

Factor a perfect square on the left side:
(j + 0.5)(j + 0.5) = -0.4166666667

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.

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