(16+5i)((12-10i)-(2-5i))=

Simple and best practice solution for (16+5i)((12-10i)-(2-5i))= 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 (16+5i)((12-10i)-(2-5i))= equation: 


Simplifying
(16 + 5i)((12 + -10i) + -1(2 + -5i)) = 0

Remove parenthesis around (12 + -10i)
(16 + 5i)(12 + -10i + -1(2 + -5i)) = 0
(16 + 5i)(12 + -10i + (2 * -1 + -5i * -1)) = 0
(16 + 5i)(12 + -10i + (-2 + 5i)) = 0

Reorder the terms:
(16 + 5i)(12 + -2 + -10i + 5i) = 0

Combine like terms: 12 + -2 = 10
(16 + 5i)(10 + -10i + 5i) = 0

Combine like terms: -10i + 5i = -5i
(16 + 5i)(10 + -5i) = 0

Multiply (16 + 5i) * (10 + -5i)
(16(10 + -5i) + 5i * (10 + -5i)) = 0
((10 * 16 + -5i * 16) + 5i * (10 + -5i)) = 0
((160 + -80i) + 5i * (10 + -5i)) = 0
(160 + -80i + (10 * 5i + -5i * 5i)) = 0
(160 + -80i + (50i + -25i2)) = 0

Combine like terms: -80i + 50i = -30i
(160 + -30i + -25i2) = 0

Solving
160 + -30i + -25i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '5'.
5(32 + -6i + -5i2) = 0

Factor a trinomial.
5((2 + -1i)(16 + 5i)) = 0

Ignore the factor 5.

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

Simplifying
2 + -1i = 0

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

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

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

Divide each side by '-1'.
i = 2

Simplifying
i = 2

Subproblem 2
Set the factor '(16 + 5i)' equal to zero and attempt to solve:

Simplifying
16 + 5i = 0

Solving
16 + 5i = 0

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

Add '-16' to each side of the equation.
16 + -16 + 5i = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 5i = 0 + -16
5i = 0 + -16

Combine like terms: 0 + -16 = -16
5i = -16

Divide each side by '5'.
i = -3.2

Simplifying
i = -3.2
Solution
i = {2, -3.2}

See similar equations:

| 2r+8=32 | | -2t=-12 | | 3m+6m^2-m^3=-11+2m-4m^2+9m^3 | | x+.5x+4+4x= | | =6t^2-13tv-5v^2 | | 9+2(15+n)+4n+6(5+n)= | | y/8=25/2y | | x^2+2=7x | | b=14+y | | 5u-7+2(4u+1)=-2(u+7) | | 4(v+6)=-4(4v-5)+6v | | X+3+x+3=-x-4+3x-2 | | 2(y-2)=2y+9-2(-9y-1) | | x^2-3x-16=12 | | -4(-2x+7)-2x=2(x-6)-6 | | s(t)=79-14t^2 | | 60,5x+17,5x=6000 | | 7y-6+3(2y+5)=-5(y+1) | | 5(w+4)=-2(6w-5)+w | | x=100x | | 1/2x+10=-1/4+54 | | 2x=0+4 | | x^25+3x^20-19x^12+20x^3+1=x | | 2lnx=-ln(6x+2) | | 8sine(2x)=4 | | I=g(a)+k(k+j)+jc | | 8sin(2x)=4 | | x^2-5x-8=2+3x | | factor(2x+3)*2= | | 2lnx=-ln(y-1) | | 4(2)(1)=2(1+1) | | 6*12+4((20-6)+8)= |

Equations solver categories