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

Simple and best practice solution for (-3+2i)(4-i)=0 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-i)=0 equation:


Simplifying
(-3 + 2i)(4 + -1i) = 0

Multiply (-3 + 2i) * (4 + -1i)
(-3(4 + -1i) + 2i * (4 + -1i)) = 0
((4 * -3 + -1i * -3) + 2i * (4 + -1i)) = 0
((-12 + 3i) + 2i * (4 + -1i)) = 0
(-12 + 3i + (4 * 2i + -1i * 2i)) = 0
(-12 + 3i + (8i + -2i2)) = 0

Combine like terms: 3i + 8i = 11i
(-12 + 11i + -2i2) = 0

Solving
-12 + 11i + -2i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-4 + i)(3 + -2i) = 0

Subproblem 1

Set the factor '(-4 + i)' equal to zero and attempt to solve: Simplifying -4 + i = 0 Solving -4 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + i = 0 + 4 Combine like terms: -4 + 4 = 0 0 + i = 0 + 4 i = 0 + 4 Combine like terms: 0 + 4 = 4 i = 4 Simplifying i = 4

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 = {4, 1.5}

See similar equations:

| -2x+5x=4(x+2)-(x+8) | | (-4)+x=-91 | | 39x-79=20x | | 3(x+2)=3-5x | | 4x^2-48=0 | | -4(3y+4)-5=-6(y+6)+3 | | 90=30+2w | | x-22=-25 | | 9x-(3x-4)=10(x-5)+7 | | 5g+3x+9=0 | | 12x-5(x-2)=7x+5 | | 2.6x=-61.34 | | 3*1.2x-9=0 | | 3a=5a+4 | | x^2+10+25=18 | | 12=2b-7 | | X-22=-99 | | 4a=2b-7 | | .02x-5.32=.5(x-2) | | x^3-y^2=57 | | 8(y-2)=4 | | 10y=-3 | | x+7x+1.5x=29x+18 | | 55-5x=4x+20 | | 38.61+x=53.62 | | (x+5)x=0 | | 6-7x=142-35x | | 6-0.7k=6 | | (x+4)(x^3-2x+6)x= | | 4q+3=-2(-2q+1)+5 | | -x+6=22 | | 3+10x+75=x |

Equations solver categories