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

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


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

Reorder the terms:
(-2 + x)(x + 3i)(x + -3i) = 0

Reorder the terms:
(-2 + x)(3i + x)(x + -3i) = 0

Reorder the terms:
(-2 + x)(3i + x)(-3i + x) = 0

Multiply (-2 + x) * (3i + x)
(-2(3i + x) + x(3i + x))(-3i + x) = 0
((3i * -2 + x * -2) + x(3i + x))(-3i + x) = 0
((-6i + -2x) + x(3i + x))(-3i + x) = 0
(-6i + -2x + (3i * x + x * x))(-3i + x) = 0
(-6i + -2x + (3ix + x2))(-3i + x) = 0

Reorder the terms:
(-6i + 3ix + -2x + x2)(-3i + x) = 0
(-6i + 3ix + -2x + x2)(-3i + x) = 0

Multiply (-6i + 3ix + -2x + x2) * (-3i + x)
(-6i * (-3i + x) + 3ix * (-3i + x) + -2x * (-3i + x) + x2(-3i + x)) = 0
((-3i * -6i + x * -6i) + 3ix * (-3i + x) + -2x * (-3i + x) + x2(-3i + x)) = 0

Reorder the terms:
((-6ix + 18i2) + 3ix * (-3i + x) + -2x * (-3i + x) + x2(-3i + x)) = 0
((-6ix + 18i2) + 3ix * (-3i + x) + -2x * (-3i + x) + x2(-3i + x)) = 0
(-6ix + 18i2 + (-3i * 3ix + x * 3ix) + -2x * (-3i + x) + x2(-3i + x)) = 0

Reorder the terms:
(-6ix + 18i2 + (3ix2 + -9i2x) + -2x * (-3i + x) + x2(-3i + x)) = 0
(-6ix + 18i2 + (3ix2 + -9i2x) + -2x * (-3i + x) + x2(-3i + x)) = 0
(-6ix + 18i2 + 3ix2 + -9i2x + (-3i * -2x + x * -2x) + x2(-3i + x)) = 0
(-6ix + 18i2 + 3ix2 + -9i2x + (6ix + -2x2) + x2(-3i + x)) = 0
(-6ix + 18i2 + 3ix2 + -9i2x + 6ix + -2x2 + (-3i * x2 + x * x2)) = 0
(-6ix + 18i2 + 3ix2 + -9i2x + 6ix + -2x2 + (-3ix2 + x3)) = 0

Reorder the terms:
(-6ix + 6ix + 3ix2 + -3ix2 + 18i2 + -9i2x + -2x2 + x3) = 0

Combine like terms: -6ix + 6ix = 0
(0 + 3ix2 + -3ix2 + 18i2 + -9i2x + -2x2 + x3) = 0
(3ix2 + -3ix2 + 18i2 + -9i2x + -2x2 + x3) = 0

Combine like terms: 3ix2 + -3ix2 = 0
(0 + 18i2 + -9i2x + -2x2 + x3) = 0
(18i2 + -9i2x + -2x2 + x3) = 0

Solving
18i2 + -9i2x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '2x2' to each side of the equation.
18i2 + -9i2x + -2x2 + 2x2 + x3 = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
18i2 + -9i2x + 0 + x3 = 0 + 2x2
18i2 + -9i2x + x3 = 0 + 2x2
Remove the zero:
18i2 + -9i2x + x3 = 2x2

Add '-1x3' to each side of the equation.
18i2 + -9i2x + x3 + -1x3 = 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
18i2 + -9i2x + 0 = 2x2 + -1x3
18i2 + -9i2x = 2x2 + -1x3

Reorder the terms:
18i2 + -9i2x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
18i2 + -9i2x + -2x2 + x3 = 0 + -1x3 + x3
18i2 + -9i2x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
18i2 + -9i2x + -2x2 + x3 = 0

The solution to this equation could not be determined.

See similar equations:

| 5x+14=-7 | | .4x-9=-4.6+.7 | | (N+9)+4=58 | | .625[p-4]=2 | | H^2+36h=0 | | (88-m)9=90 | | 12(x+9)=-108 | | 2x-7+8x=14 | | -5x/-2=-1x/-3 | | 88+6=188 | | -5+1(4*4-31)8= | | -2(-7x+14)+9=-13 | | 12+2=14 | | 3x/2*2/3x=1 | | (3z^2/4z^5)^-2 | | 1-5+1(4*4-31)8= | | 0.7z+2(x-3)=0.2x+3 | | 405/25 | | .5x-1=1.5x | | n-tn= | | 32s^2-72=0 | | n*84=50 | | -4x+3=-x+33 | | 40000y+1000c=60000 | | -6k+10-42k= | | x-(x*0.1)=30 | | 4w*w= | | 7+2a+6=-9 | | 5x-2(4x+100)= | | 6(n-7)-4(-7n+1)=-6n-6n | | 15T^2-235T-80=0 | | 3.42x-11.13-1.4x=2 |

Equations solver categories