(10+3i)(2+i)=

Simple and best practice solution for (10+3i)(2+i)= 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 (10+3i)(2+i)= equation: 


Simplifying
(10 + 3i)(2 + i) = 0

Multiply (10 + 3i) * (2 + i)
(10(2 + i) + 3i * (2 + i)) = 0
((2 * 10 + i * 10) + 3i * (2 + i)) = 0
((20 + 10i) + 3i * (2 + i)) = 0
(20 + 10i + (2 * 3i + i * 3i)) = 0
(20 + 10i + (6i + 3i2)) = 0

Combine like terms: 10i + 6i = 16i
(20 + 16i + 3i2) = 0

Solving
20 + 16i + 3i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(10 + 3i)(2 + i) = 0


Subproblem 1
Set the factor '(10 + 3i)' equal to zero and attempt to solve:

Simplifying
10 + 3i = 0

Solving
10 + 3i = 0

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

Add '-10' to each side of the equation.
10 + -10 + 3i = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 3i = 0 + -10
3i = 0 + -10

Combine like terms: 0 + -10 = -10
3i = -10

Divide each side by '3'.
i = -3.333333333

Simplifying
i = -3.333333333

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

Simplifying
2 + i = 0

Solving
2 + i = 0

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

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

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

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

Simplifying
i = -2
Solution
i = {-3.333333333, -2}

See similar equations:

| 12-4x=1/x | | 2(3x+7)=58 | | 5cos(x)+12=10 | | 2x^5+x^4-12x^3-12x^2+x+2=0 | | 35+11x=134 | | 3(3y-9)=39 | | -12x^3+24x^2-12x=0 | | 8x(6-3)+4x-8= | | 17-a/5=14 | | 2m+3-m=n | | xy-3y=8 | | 56+10x=146 | | 5(0.2x+5)=2(3.5x-3) | | 4.603y-1.842=-3651y | | 3(4x+1)=-2(2x-1) | | 3(x-3)=-1 | | (88+110)(1-140)-10x=8x-1120x-1400x | | x^(-2/3)=4/9 | | m=3+2m | | 5(x+6)=4(x+5) | | 10x+88=248 | | 5(5x-5)=23x-3 | | 4x+6=3(x+5) | | 50*x=0 | | 12.5=t/u | | 9(9+19x)=3672 | | 75*x=-25 | | 1-0.3x=1.3x-4.2 | | 3x-7x+12=24+6x | | 13x-165=17 | | 9*5y=35 | | w^2+5w-96=0 |

Equations solver categories