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

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


Simplifying
(x + -1i)(x + i)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1i + x)(x + i)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1i + x)(i + x)(x + -3i)(x + 3i) = 0

Reorder the terms:
(-1i + x)(i + x)(-3i + x)(x + 3i) = 0

Reorder the terms:
(-1i + x)(i + x)(-3i + x)(3i + x) = 0

Multiply (-1i + x) * (i + x)
(-1i * (i + x) + x(i + x))(-3i + x)(3i + x) = 0
((i * -1i + x * -1i) + x(i + x))(-3i + x)(3i + x) = 0

Reorder the terms:
((-1ix + -1i2) + x(i + x))(-3i + x)(3i + x) = 0
((-1ix + -1i2) + x(i + x))(-3i + x)(3i + x) = 0
(-1ix + -1i2 + (i * x + x * x))(-3i + x)(3i + x) = 0
(-1ix + -1i2 + (ix + x2))(-3i + x)(3i + x) = 0

Reorder the terms:
(-1ix + ix + -1i2 + x2)(-3i + x)(3i + x) = 0

Combine like terms: -1ix + ix = 0
(0 + -1i2 + x2)(-3i + x)(3i + x) = 0
(-1i2 + x2)(-3i + x)(3i + x) = 0

Multiply (-1i2 + x2) * (-3i + x)
(-1i2 * (-3i + x) + x2(-3i + x))(3i + x) = 0
((-3i * -1i2 + x * -1i2) + x2(-3i + x))(3i + x) = 0

Reorder the terms:
((-1i2x + 3i3) + x2(-3i + x))(3i + x) = 0
((-1i2x + 3i3) + x2(-3i + x))(3i + x) = 0
(-1i2x + 3i3 + (-3i * x2 + x * x2))(3i + x) = 0
(-1i2x + 3i3 + (-3ix2 + x3))(3i + x) = 0

Reorder the terms:
(-3ix2 + -1i2x + 3i3 + x3)(3i + x) = 0
(-3ix2 + -1i2x + 3i3 + x3)(3i + x) = 0

Multiply (-3ix2 + -1i2x + 3i3 + x3) * (3i + x)
(-3ix2 * (3i + x) + -1i2x * (3i + x) + 3i3 * (3i + x) + x3(3i + x)) = 0
((3i * -3ix2 + x * -3ix2) + -1i2x * (3i + x) + 3i3 * (3i + x) + x3(3i + x)) = 0

Reorder the terms:
((-3ix3 + -9i2x2) + -1i2x * (3i + x) + 3i3 * (3i + x) + x3(3i + x)) = 0
((-3ix3 + -9i2x2) + -1i2x * (3i + x) + 3i3 * (3i + x) + x3(3i + x)) = 0
(-3ix3 + -9i2x2 + (3i * -1i2x + x * -1i2x) + 3i3 * (3i + x) + x3(3i + x)) = 0

Reorder the terms:
(-3ix3 + -9i2x2 + (-1i2x2 + -3i3x) + 3i3 * (3i + x) + x3(3i + x)) = 0
(-3ix3 + -9i2x2 + (-1i2x2 + -3i3x) + 3i3 * (3i + x) + x3(3i + x)) = 0
(-3ix3 + -9i2x2 + -1i2x2 + -3i3x + (3i * 3i3 + x * 3i3) + x3(3i + x)) = 0

Reorder the terms:
(-3ix3 + -9i2x2 + -1i2x2 + -3i3x + (3i3x + 9i4) + x3(3i + x)) = 0
(-3ix3 + -9i2x2 + -1i2x2 + -3i3x + (3i3x + 9i4) + x3(3i + x)) = 0
(-3ix3 + -9i2x2 + -1i2x2 + -3i3x + 3i3x + 9i4 + (3i * x3 + x * x3)) = 0
(-3ix3 + -9i2x2 + -1i2x2 + -3i3x + 3i3x + 9i4 + (3ix3 + x4)) = 0

Reorder the terms:
(-3ix3 + 3ix3 + -9i2x2 + -1i2x2 + -3i3x + 3i3x + 9i4 + x4) = 0

Combine like terms: -3ix3 + 3ix3 = 0
(0 + -9i2x2 + -1i2x2 + -3i3x + 3i3x + 9i4 + x4) = 0
(-9i2x2 + -1i2x2 + -3i3x + 3i3x + 9i4 + x4) = 0

Combine like terms: -9i2x2 + -1i2x2 = -10i2x2
(-10i2x2 + -3i3x + 3i3x + 9i4 + x4) = 0

Combine like terms: -3i3x + 3i3x = 0
(-10i2x2 + 0 + 9i4 + x4) = 0
(-10i2x2 + 9i4 + x4) = 0

Solving
-10i2x2 + 9i4 + x4 = 0

Solving for variable 'i'.

Factor a trinomial.
(i2 + -1x2)(9i2 + -1x2) = 0

Factor a difference between two squares.
((i + x)(i + -1x))(9i2 + -1x2) = 0

Factor a difference between two squares.
((3i + x)(3i + -1x))(i + x)(i + -1x) = 0


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

Simplifying
i + x = 0

Solving
i + x = 0

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

Add '-1x' to each side of the equation.
i + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
i + 0 = 0 + -1x
i = 0 + -1x
Remove the zero:
i = -1x

Simplifying
i = -1x

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

Simplifying
i + -1x = 0

Solving
i + -1x = 0

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

Add 'x' to each side of the equation.
i + -1x + x = 0 + x

Combine like terms: -1x + x = 0
i + 0 = 0 + x
i = 0 + x
Remove the zero:
i = x

Simplifying
i = x

Subproblem 3
Set the factor '(3i + x)' equal to zero and attempt to solve:

Simplifying
3i + x = 0

Solving
3i + x = 0

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

Add '-1x' to each side of the equation.
3i + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
3i + 0 = 0 + -1x
3i = 0 + -1x
Remove the zero:
3i = -1x

Divide each side by '3'.
i = -0.3333333333x

Simplifying
i = -0.3333333333x

Subproblem 4
Set the factor '(3i + -1x)' equal to zero and attempt to solve:

Simplifying
3i + -1x = 0

Solving
3i + -1x = 0

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

Add 'x' to each side of the equation.
3i + -1x + x = 0 + x

Combine like terms: -1x + x = 0
3i + 0 = 0 + x
3i = 0 + x
Remove the zero:
3i = x

Divide each side by '3'.
i = 0.3333333333x

Simplifying
i = 0.3333333333x
Solution
i = {-1x, x, -0.3333333333x, 0.3333333333x}

See similar equations:

| Log(7)x+log(7)7=2 | | 0.2x-0.5=0.1+7 | | 10x+5+96+84+95=360 | | 3(6x)= | | 8(2w-1)-4w=-16 | | -252K-120=-420+245K | | 4x+13=-3x-15 | | 4x+6y+4-2y-10x-6= | | -3y-3(9y+3)=9-3(6-y) | | 4x+13=-13-5 | | 10(z+2)-4(z-4)=3(z-3)+2(z-2) | | 4x+13=13-5 | | (4x-5)+(3x-6)= | | 5x-5(4x-13)=-25 | | 4(4x-7)-8=4(x-4)+52 | | x^2-1x+100=0 | | 4x-8y-7x+6xy-10= | | 12r-19=-27 | | 4x^2+25y^2-250y-16x-67=0 | | 3x+4(-4x+12)=-82 | | 8x+3x+5=6x+8 | | x^50=1000 | | -3x+7=x+2 | | x^2-2xy-y^2=9 | | 16x-(3x-5)=70 | | 3x+3(14+4x)=-18 | | 4.5x=2.5 | | -2x+3x=x-2-4x | | 5x-3=6-6m | | x^2-5m-14=0 | | 4x-5(-x-20)=55 | | -2x^2-(-3x^2)+4x^2= |

Equations solver categories