(3+9i)(-8+13i)=

Simple and best practice solution for (3+9i)(-8+13i)= 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 (3+9i)(-8+13i)= equation: 


Simplifying
(3 + 9i)(-8 + 13i) = 0

Multiply (3 + 9i) * (-8 + 13i)
(3(-8 + 13i) + 9i * (-8 + 13i)) = 0
((-8 * 3 + 13i * 3) + 9i * (-8 + 13i)) = 0
((-24 + 39i) + 9i * (-8 + 13i)) = 0
(-24 + 39i + (-8 * 9i + 13i * 9i)) = 0
(-24 + 39i + (-72i + 117i2)) = 0

Combine like terms: 39i + -72i = -33i
(-24 + -33i + 117i2) = 0

Solving
-24 + -33i + 117i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -11i + 39i2) = 0

Factor a trinomial.
3((-1 + -3i)(8 + -13i)) = 0

Ignore the factor 3.

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

Simplifying
-1 + -3i = 0

Solving
-1 + -3i = 0

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

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

Combine like terms: -1 + 1 = 0
0 + -3i = 0 + 1
-3i = 0 + 1

Combine like terms: 0 + 1 = 1
-3i = 1

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

Simplifying
i = -0.3333333333

Subproblem 2
Set the factor '(8 + -13i)' equal to zero and attempt to solve:

Simplifying
8 + -13i = 0

Solving
8 + -13i = 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 + -13i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -13i = 0 + -8
-13i = 0 + -8

Combine like terms: 0 + -8 = -8
-13i = -8

Divide each side by '-13'.
i = 0.6153846154

Simplifying
i = 0.6153846154
Solution
i = {-0.3333333333, 0.6153846154}

See similar equations:

| 5(1x-2)=20 | | 12x/3x(-3) | | 3x^2-12x+6=y | | 12x/3x) | | -5(x-1)=2(x-9)-5 | | 4(10-7x)=-268 | | 5x-x=-16 | | x^2+10x-8=0e | | 3x^2+181=0 | | 1-2r+r=-4 | | (9x+1)+(8x+9)=90 | | log(3)3+log(3)X=log(3)45 | | 4z-z-2z-1=9 | | 0.15x-0.20=0.10x+0.10 | | 2x+5(x-3)=10+2x | | 7.6a+9.6=1.2 | | a-5/10=29-3/5 | | -8p+4=10(-4p-8)-10(7-p) | | 12w-9w+w+w-4=16 | | tan(x)=0.49 | | -x/8=18 | | 13+6x=3(-x+7)-35 | | -2=6-8X | | 8x+7y=42 | | -4(4x-1)=68 | | 2t^2-81=5 | | 5x+6=-2x+20 | | 4m-8+2m=2+9m-1 | | 3.5d+8.25=3+4.25d | | 3q-2q+5q=12 | | 4x^2+8xy+17y^2-8x-12y+7=0 | | 4(3x+14)=116 |

Equations solver categories