(-3-2i)(4+2i)=

Simple and best practice solution for (-3-2i)(4+2i)= 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 (-3-2i)(4+2i)= equation:


Simplifying
(-3 + -2i)(4 + 2i) = 0

Multiply (-3 + -2i) * (4 + 2i)
(-3(4 + 2i) + -2i * (4 + 2i)) = 0
((4 * -3 + 2i * -3) + -2i * (4 + 2i)) = 0
((-12 + -6i) + -2i * (4 + 2i)) = 0
(-12 + -6i + (4 * -2i + 2i * -2i)) = 0
(-12 + -6i + (-8i + -4i2)) = 0

Combine like terms: -6i + -8i = -14i
(-12 + -14i + -4i2) = 0

Solving
-12 + -14i + -4i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(6 + 7i + 2i2) = 0

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

Ignore the factor -2.

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 2i)' equal to zero and attempt to solve: Simplifying 3 + 2i = 0 Solving 3 + 2i = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2i = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2i = 0 + -3 2i = 0 + -3 Combine like terms: 0 + -3 = -3 2i = -3 Divide each side by '2'. i = -1.5 Simplifying i = -1.5

Solution

i = {-2, -1.5}

See similar equations:

| 8x+x=-45 | | 0.59x=6-0.41x | | 75=3(-6x-5)-1 | | X-8+3=-2 | | 2(y-3)=2x+6 | | 2x^2-8=20 | | -1-5a=99 | | 3(3x-8)=2(4x-6)+2 | | 4(3y+2+10)= | | 0.42+0.39n=0.0885 | | 2x+7+4x=4x+16+x | | 6(2x-3)-3x=2x-18+x | | 15x=14x-5 | | 4-3r=46 | | 3n(n+9+2n)= | | 7h+18-h+12=-54 | | -5-q=0 | | w+.5w+.20= | | X^4-16x^2+6561=0 | | 5m^4+2m^2-7=0 | | -9x+3=5 | | 3x-(x-1)=2(x-3)+9 | | x^2-24xy+144y^2=0 | | 4x-3=-2x | | -11=3x-2 | | 8(2n+6b+8h)= | | (2x-1)+3=57 | | (x+24)-35=19 | | 3x-(x+1)=2(x+1)+1 | | 6-(2n-9)=5-3n | | 4-5y=-11 | | =42y-30 |

Equations solver categories