(2+4i)(8-i)=

Simple and best practice solution for (2+4i)(8-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 (2+4i)(8-i)= equation: 


Simplifying
(2 + 4i)(8 + -1i) = 0

Multiply (2 + 4i) * (8 + -1i)
(2(8 + -1i) + 4i * (8 + -1i)) = 0
((8 * 2 + -1i * 2) + 4i * (8 + -1i)) = 0
((16 + -2i) + 4i * (8 + -1i)) = 0
(16 + -2i + (8 * 4i + -1i * 4i)) = 0
(16 + -2i + (32i + -4i2)) = 0

Combine like terms: -2i + 32i = 30i
(16 + 30i + -4i2) = 0

Solving
16 + 30i + -4i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 15i + -2i2) = 0

Factor a trinomial.
2((8 + -1i)(1 + 2i)) = 0

Ignore the factor 2.

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

Simplifying
8 + -1i = 0

Solving
8 + -1i = 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 + -1i = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1i = 0 + -8
-1i = 0 + -8

Combine like terms: 0 + -8 = -8
-1i = -8

Divide each side by '-1'.
i = 8

Simplifying
i = 8

Subproblem 2
Set the factor '(1 + 2i)' equal to zero and attempt to solve:

Simplifying
1 + 2i = 0

Solving
1 + 2i = 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 + 2i = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2i = 0 + -1
2i = 0 + -1

Combine like terms: 0 + -1 = -1
2i = -1

Divide each side by '2'.
i = -0.5

Simplifying
i = -0.5
Solution
i = {8, -0.5}

See similar equations:

| r^2+6r-13=-6 | | 4-2x+6=4 | | 4(5-a)=-4 | | 3(4x^2+x-9)=0 | | 3+4xn=6-5xn | | n^2+20n-51=-7 | | (7+3i)(6-i)= | | M^2+12m-15=-2 | | x/2+4=24 | | 3(x-4)=30-3x | | s=9 | | (-6+4i)+(3+7i)= | | X^4+5x^2=36 | | x/3=24 | | 48+16=s | | 2t^5(t-t^2+6t^3)=0 | | 7x+5=4x+29 | | 3+4xn=6-5n | | (-8+6i)+(9-i)= | | 9(y-3)=54 | | 12+11+36=b | | -2x^2+3(-2)=0 | | -3=y+1 | | -16x^2+48x+160=20 | | 7=4y | | z=7/7 | | 4x^2+4x-22=0 | | 45/2x=10 | | 2x+5=3x-13 | | (4v+3)(5v-4)= | | B=lw | | 3+2=y |

Equations solver categories