(4x-6i)(x+3i)=

Simple and best practice solution for (4x-6i)(x+3i)= 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 (4x-6i)(x+3i)= equation: 


Simplifying
(4x + -6i)(x + 3i) = 0

Reorder the terms:
(-6i + 4x)(x + 3i) = 0

Reorder the terms:
(-6i + 4x)(3i + x) = 0

Multiply (-6i + 4x) * (3i + x)
(-6i * (3i + x) + 4x * (3i + x)) = 0
((3i * -6i + x * -6i) + 4x * (3i + x)) = 0

Reorder the terms:
((-6ix + -18i2) + 4x * (3i + x)) = 0
((-6ix + -18i2) + 4x * (3i + x)) = 0
(-6ix + -18i2 + (3i * 4x + x * 4x)) = 0
(-6ix + -18i2 + (12ix + 4x2)) = 0

Reorder the terms:
(-6ix + 12ix + -18i2 + 4x2) = 0

Combine like terms: -6ix + 12ix = 6ix
(6ix + -18i2 + 4x2) = 0

Solving
6ix + -18i2 + 4x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3ix + -9i2 + 2x2) = 0

Factor a trinomial.
2((-3i + -1x)(3i + -2x)) = 0

Ignore the factor 2.

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

Simplifying
-3i + -1x = 0

Solving
-3i + -1x = 0

Move all terms containing i to the left, all other terms to the right.

Add 'x' to each side of the equation.
-3i + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-3i + 0 = 0 + x
-3i = 0 + x
Remove the zero:
-3i = x

Divide each side by '-3'.
i = -0.3333333333x

Simplifying
i = -0.3333333333x

Subproblem 2
Set the factor '(3i + -2x)' equal to zero and attempt to solve:

Simplifying
3i + -2x = 0

Solving
3i + -2x = 0

Move all terms containing i to the left, all other terms to the right.

Add '2x' to each side of the equation.
3i + -2x + 2x = 0 + 2x

Combine like terms: -2x + 2x = 0
3i + 0 = 0 + 2x
3i = 0 + 2x
Remove the zero:
3i = 2x

Divide each side by '3'.
i = 0.6666666667x

Simplifying
i = 0.6666666667x
Solution
i = {-0.3333333333x, 0.6666666667x}

See similar equations:

| Z(3)=4-n | | y/-4=-1 | | 8(x+6)+4(x+6)=5x-5 | | 20x+5+15x= | | 27x=18x+54+6 | | 40+x=50+30 | | X+4(-3+x)=17 | | -3=z/4-6 | | 7+5x-2= | | x(x-2)+2x=4 | | 127=2x | | 18m=14 | | 3x^2+15-6=0 | | .999-2y=2 | | 10.8x+57.35=-9.2x+56.83 | | 5(5x-5)= | | 9(-1)=3(-1)-6 | | X+4(x-3)=17 | | 10+12=9+x | | 6x(9+7)= | | 2(5x+1)=3(x+1) | | 6.2x-2.2=10.2 | | 12w=3 | | .5(x-4)+9=.5x+7 | | 15-5x+20x= | | 2Ln(3)+3ln(2)= | | 6x+x+50=750 | | 23x-3=12x+30 | | 63+2x-5=180 | | 5(3z-1)-5(z+6)=6(z+1) | | 8(3a+6)=9(a-4) | | 5/6x24=? |

Equations solver categories