(6+4i)(8-3i)=

Simple and best practice solution for (6+4i)(8-3i)= 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 (6+4i)(8-3i)= equation: 


Simplifying
(6 + 4i)(8 + -3i) = 0

Multiply (6 + 4i) * (8 + -3i)
(6(8 + -3i) + 4i * (8 + -3i)) = 0
((8 * 6 + -3i * 6) + 4i * (8 + -3i)) = 0
((48 + -18i) + 4i * (8 + -3i)) = 0
(48 + -18i + (8 * 4i + -3i * 4i)) = 0
(48 + -18i + (32i + -12i2)) = 0

Combine like terms: -18i + 32i = 14i
(48 + 14i + -12i2) = 0

Solving
48 + 14i + -12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + 7i + -6i2) = 0

Factor a trinomial.
2((8 + -3i)(3 + 2i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(8 + -3i)' equal to zero and attempt to solve:

Simplifying
8 + -3i = 0

Solving
8 + -3i = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3i = 0 + -8
-3i = 0 + -8

Combine like terms: 0 + -8 = -8
-3i = -8

Divide each side by '-3'.
i = 2.666666667

Simplifying
i = 2.666666667

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

Simplifying
3 + 2i = 0

Solving
3 + 2i = 0

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

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

Combine like terms: 3 + -3 = 0
0 + 2i = 0 + -3
2i = 0 + -3

Combine like terms: 0 + -3 = -3
2i = -3

Divide each side by '2'.
i = -1.5

Simplifying
i = -1.5
Solution
i = {2.666666667, -1.5}

See similar equations:

| -7j-12=9 | | y^2-24=0 | | x+(x-36)=180 | | 4(3-8)= | | 20x=1,400,000 | | 4*110,000+960,000= | | 3+5(4-2)= | | 2b=-3 | | (2y-9)=(y-5) | | 5x-y=-12 | | 25s^2+80s+64= | | 4(t-5)+8= | | a+2c=1 | | 2x-5(x-9)=27 | | FX=2X | | 2-15x=5(-3x+2) | | 7[6-9(x-1)]+7[(5x+3)-8]=13x-336 | | (2a+-8)+15=13 | | 5y+9+3=6 | | x+(x+5)=59 | | t-(-4)=12 | | 64=3x+22 | | 4(3x-4)+2=-2(-6+1) | | 4x-2+5x=-29 | | 4v^2-32v+224= | | 0.09x+3.4=0.4x+65.4 | | .5+.3x-.1x=.7x-.02+8x | | 8x-13=83 | | -6=st+24 | | p^2+6p= | | 2(4r+6)=0.666666667(12r+18) | | 3x+3=x+15 |

Equations solver categories