(2+4i)(-6-3i)=

Simple and best practice solution for (2+4i)(-6-3i)= 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)(-6-3i)= equation:


Simplifying
(2 + 4i)(-6 + -3i) = 0

Multiply (2 + 4i) * (-6 + -3i)
(2(-6 + -3i) + 4i * (-6 + -3i)) = 0
((-6 * 2 + -3i * 2) + 4i * (-6 + -3i)) = 0
((-12 + -6i) + 4i * (-6 + -3i)) = 0
(-12 + -6i + (-6 * 4i + -3i * 4i)) = 0
(-12 + -6i + (-24i + -12i2)) = 0

Combine like terms: -6i + -24i = -30i
(-12 + -30i + -12i2) = 0

Solving
-12 + -30i + -12i2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '-6'.
-6(2 + 5i + 2i2) = 0

Factor a trinomial.
-6((2 + i)(1 + 2i)) = 0

Ignore the factor -6.

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 '(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 = {-2, -0.5}

See similar equations:

| 8sin(x/2)-8=0 | | 6(1/2)=3(2/3) | | -7=w/2-5 | | (10b^2-b-3)(20b^2+12b)= | | 43t=387 | | 4w+8=15w-3+64 | | 1x-8-2x=4 | | f(3x)=x^2+2x-6 | | 1.4=-t/2.5 | | -5/3*(-1/8) | | 4w+8=15w-8+64 | | 12=6(2-4) | | -7/8*(-7/5) | | 5y+4y=3y+11 | | -7x-3=-7x-5 | | 4r-35=0 | | X+8whenx=6 | | 9+y=-7 | | -5=w-9 | | -14=-0.4k | | 4x^3-4x^2-3u+3=0 | | -8.4=0.12x | | b-5=-41 | | 7x-11y=21 | | =3ab/3abc | | 5(-2m-6)= | | y=-0.285714285714x | | f(x)=225-x^2 | | 9(x+5)=160 | | -9x-24y=54 | | x-2(3/10)=5/12 | | (3+5i)(3+5i)= |

Equations solver categories