(-3x+3i)(x+9i)=0

Simple and best practice solution for (-3x+3i)(x+9i)=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 (-3x+3i)(x+9i)=0 equation: 


Simplifying
(-3x + 3i)(x + 9i) = 0

Reorder the terms:
(3i + -3x)(x + 9i) = 0

Reorder the terms:
(3i + -3x)(9i + x) = 0

Multiply (3i + -3x) * (9i + x)
(3i * (9i + x) + -3x * (9i + x)) = 0
((9i * 3i + x * 3i) + -3x * (9i + x)) = 0

Reorder the terms:
((3ix + 27i2) + -3x * (9i + x)) = 0
((3ix + 27i2) + -3x * (9i + x)) = 0
(3ix + 27i2 + (9i * -3x + x * -3x)) = 0
(3ix + 27i2 + (-27ix + -3x2)) = 0

Reorder the terms:
(3ix + -27ix + 27i2 + -3x2) = 0

Combine like terms: 3ix + -27ix = -24ix
(-24ix + 27i2 + -3x2) = 0

Solving
-24ix + 27i2 + -3x2 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8ix + 9i2 + -1x2) = 0

Factor a trinomial.
3((i + -1x)(9i + x)) = 0

Ignore the factor 3.

Subproblem 1
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 2
Set the factor '(9i + x)' equal to zero and attempt to solve:

Simplifying
9i + x = 0

Solving
9i + x = 0

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

Add '-1x' to each side of the equation.
9i + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
9i + 0 = 0 + -1x
9i = 0 + -1x
Remove the zero:
9i = -1x

Divide each side by '9'.
i = -0.1111111111x

Simplifying
i = -0.1111111111x
Solution
i = {x, -0.1111111111x}

See similar equations:

| (3x)+(-x)= | | 11x=8x+24 | | -3x-5=-15+2y | | Y+5x+9=-4 | | (9x+5)+(12x-7)=180 | | -6(a+2)=8+a | | 3.51=-0.8x+3.5x | | (-3x)+7=(-x)-1 | | 48=16-0.5X | | 3(x+2)=7x-5 | | 12x-7+y=180 | | 9x+5+y=180 | | 84x^2+42x+6= | | 15/x=18/27 | | -1+n=2 | | (x+2)*(x+3)=208 | | 4(7+z)=60 | | x+160=200 | | (4x+90)=(2x+72) | | h(x)=-7x | | 25+a^2b^2= | | 5.8x=2.9 | | x+160=20 | | 0.7x-0.3(9-2x)=-0.4(x-6) | | g(x)=1-2x | | 8(y+(-11))=16 | | x^2+5x-202=0 | | 0-3x-35y=14 | | x+168=228 | | Ix-1I=5x+10 | | 2(x+3)+2=22 | | 2/7x-4=1 |

Equations solver categories