(5+3i)(2+6i)=

Simple and best practice solution for (5+3i)(2+6i)= 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 (5+3i)(2+6i)= equation: 


Simplifying
(5 + 3i)(2 + 6i) = 0

Multiply (5 + 3i) * (2 + 6i)
(5(2 + 6i) + 3i * (2 + 6i)) = 0
((2 * 5 + 6i * 5) + 3i * (2 + 6i)) = 0
((10 + 30i) + 3i * (2 + 6i)) = 0
(10 + 30i + (2 * 3i + 6i * 3i)) = 0
(10 + 30i + (6i + 18i2)) = 0

Combine like terms: 30i + 6i = 36i
(10 + 36i + 18i2) = 0

Solving
10 + 36i + 18i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + 18i + 9i2) = 0

Factor a trinomial.
2((5 + 3i)(1 + 3i)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + 3i)' equal to zero and attempt to solve:

Simplifying
5 + 3i = 0

Solving
5 + 3i = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3i = 0 + -5
3i = 0 + -5

Combine like terms: 0 + -5 = -5
3i = -5

Divide each side by '3'.
i = -1.666666667

Simplifying
i = -1.666666667

Subproblem 2
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
Solution
i = {-1.666666667, -0.3333333333}

See similar equations:

| -15=2y-7 | | 6-x=19 | | -12+4c=6c-(6+5) | | .07x+899.1-x=60 | | -r=8 | | 14-6u=-11-u | | -(x)+3=0 | | 12k^2-28k-5=0 | | (4a^3+16a^2)-(9a-36)=0 | | 6-3(x+2)=4(x-7) | | 5c+3=46.5 | | -4.2+3x=3 | | -(-b-4)=12 | | 16v^3+52v^2-48v=0 | | X+(-20)=36 | | 6t=4t-18 | | x^2+4xy-12y^2= | | 0.25=0.5c | | -4(-4z)=80 | | 4x^2-21x=-20 | | 6p-24+6=4p-46 | | 6p-24+6=4p-47 | | 2a^2+7a=15 | | 25-5p=19-4p | | -9x+3=5-11x | | 4=1+6y | | 5(x+3)-(9n+6)= | | 4p=5p+5 | | 3p=24+5p | | -6(7q+5)= | | 3p=24 | | 9s^2-6s=3s |

Equations solver categories