6j(j-3)+3(5+4j)=0

Simple and best practice solution for 6j(j-3)+3(5+4j)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 6j(j-3)+3(5+4j)=0 equation: 


Simplifying
6j(j + -3) + 3(5 + 4j) = 0

Reorder the terms:
6j(-3 + j) + 3(5 + 4j) = 0
(-3 * 6j + j * 6j) + 3(5 + 4j) = 0
(-18j + 6j2) + 3(5 + 4j) = 0
-18j + 6j2 + (5 * 3 + 4j * 3) = 0
-18j + 6j2 + (15 + 12j) = 0

Reorder the terms:
15 + -18j + 12j + 6j2 = 0

Combine like terms: -18j + 12j = -6j
15 + -6j + 6j2 = 0

Solving
15 + -6j + 6j2 = 0

Solving for variable 'j'.

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

Ignore the factor 3.

Subproblem 1
Set the factor '(5 + -2j + 2j2)' equal to zero and attempt to solve:

Simplifying
5 + -2j + 2j2 = 0

Solving
5 + -2j + 2j2 = 0

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

Divide each side by '2'.
2.5 + -1j + j2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1j + -2.5 + j2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1j + j2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1j + j2 = 0 + -2.5
-1j + j2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1j + j2 = -2.5

The j term is -1j.  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.
-1j + 0.25 + j2 = -2.5 + 0.25

Reorder the terms:
0.25 + -1j + j2 = -2.5 + 0.25

Combine like terms: -2.5 + 0.25 = -2.25
0.25 + -1j + j2 = -2.25

Factor a perfect square on the left side:
(j + -0.5)(j + -0.5) = -2.25

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.

See similar equations:

| 4x+6=2+3x+2 | | 3/5x-(7/9x-1/4)=2-(x+3)/4 | | 12c=7c-15 | | x=3-4y^2 | | (6820xY)=343.70 | | 11w-13w=8 | | -16/-2 | | 5(-2x+2)=12 | | 9+3(z-3)=-3z+1 | | t/16=144/12 | | -7(n+2)+18=-4n-2 | | 5x=(4x+25) | | 20+4x=24 | | 5(2x-1)-(x+6)-7(3x-8)=-7.25 | | 7+x-15=-2.66666667 | | 8=(3x-2) | | 0.4=3.7x-2.7x+9.6 | | 3y+1=2+2+48 | | 12x^2-100x=0 | | 775*5= | | x-7/-2=12 | | 000.2=6 | | (4/sqrt(x))-(8/5)=0 | | 4/sqrtx-(8/5) | | =9x^4-49y^2 | | G=1/6p(m-q) | | 12=(x-8)3 | | 3192.35x=702.50 | | x(x+1)(x-10)=(x-1)(x-3)(x-5) | | A=k/pc | | (z^2)-(3-2i)x+5-i=0 | | 3cos^2x+(4cosx-1)=0 |

Equations solver categories