(4i)(7i-18)(3+9i)=

Simple and best practice solution for (4i)(7i-18)(3+9i)= 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 (4i)(7i-18)(3+9i)= equation: 


Simplifying
(4i)(7i + -18)(3 + 9i) = 0

Remove parenthesis around (4i)
4i(7i + -18)(3 + 9i) = 0

Reorder the terms:
4i(-18 + 7i)(3 + 9i) = 0

Multiply (-18 + 7i) * (3 + 9i)
4i(-18(3 + 9i) + 7i * (3 + 9i)) = 0
4i((3 * -18 + 9i * -18) + 7i * (3 + 9i)) = 0
4i((-54 + -162i) + 7i * (3 + 9i)) = 0
4i(-54 + -162i + (3 * 7i + 9i * 7i)) = 0
4i(-54 + -162i + (21i + 63i2)) = 0

Combine like terms: -162i + 21i = -141i
4i(-54 + -141i + 63i2) = 0
(-54 * 4i + -141i * 4i + 63i2 * 4i) = 0
(-216i + -564i2 + 252i3) = 0

Solving
-216i + -564i2 + 252i3 = 0

Solving for variable 'i'.

Factor out the Greatest Common Factor (GCF), '12i'.
12i(-18 + -47i + 21i2) = 0

Factor a trinomial.
12i((-1 + -3i)(18 + -7i)) = 0

Ignore the factor 12.

Subproblem 1
Set the factor 'i' equal to zero and attempt to solve:

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(-1 + -3i)' equal to zero and attempt to solve:

Simplifying
-1 + -3i = 0

Solving
-1 + -3i = 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 + -3i = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3i = 0 + 1
-3i = 0 + 1

Combine like terms: 0 + 1 = 1
-3i = 1

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

Simplifying
i = -0.3333333333

Subproblem 3
Set the factor '(18 + -7i)' equal to zero and attempt to solve:

Simplifying
18 + -7i = 0

Solving
18 + -7i = 0

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

Add '-18' to each side of the equation.
18 + -18 + -7i = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -7i = 0 + -18
-7i = 0 + -18

Combine like terms: 0 + -18 = -18
-7i = -18

Divide each side by '-7'.
i = 2.571428571

Simplifying
i = 2.571428571
Solution
i = {0, -0.3333333333, 2.571428571}

See similar equations:

| -14+59= | | (6+5i)(3-2i)= | | (4x+4)(7x+4)= | | 8+16m-4=8m+116-6m | | 3b^4-243= | | 2x-16=24 | | 7x-30=2x | | 4[-3(4x+4)+4(4x-5)]= | | 5(2m+4)=4m-8 | | 7x-37=4x+8 | | 3x=44-8x | | -9n(5n-5)= | | 7b+7b= | | 5m+19=4 | | -2d+1=7 | | (15-6i)+(2.8+5i)-(15.7-22.9i)= | | 3x+12=4x-21 | | 9n(5n-5)=0 | | M-36=-46 | | 12-3k=0 | | (-7)2= | | 9=x+15 | | 16+-26= | | 0=x^2-2x-4 | | 3y=84 | | 0=v^2+8v+15 | | 6x+1+2x=41 | | -28=5x+3 | | z^2-225=0 | | 0=m^2+22m+120 | | -13-(-9)= | | x+(x-1)+(x-2)+3+2+1=105 |

Equations solver categories