(5+6i)(2-3i)=

Simple and best practice solution for (5+6i)(2-3i)= 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 (5+6i)(2-3i)= equation: 


Simplifying
(5 + 6i)(2 + -3i) = 0

Multiply (5 + 6i) * (2 + -3i)
(5(2 + -3i) + 6i * (2 + -3i)) = 0
((2 * 5 + -3i * 5) + 6i * (2 + -3i)) = 0
((10 + -15i) + 6i * (2 + -3i)) = 0
(10 + -15i + (2 * 6i + -3i * 6i)) = 0
(10 + -15i + (12i + -18i2)) = 0

Combine like terms: -15i + 12i = -3i
(10 + -3i + -18i2) = 0

Solving
10 + -3i + -18i2 = 0

Solving for variable 'i'.

Factor a trinomial.
(2 + -3i)(5 + 6i) = 0


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

Simplifying
2 + -3i = 0

Solving
2 + -3i = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3i = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3i = 0 + -2
-3i = 0 + -2

Combine like terms: 0 + -2 = -2
-3i = -2

Divide each side by '-3'.
i = 0.6666666667

Simplifying
i = 0.6666666667

Subproblem 2
Set the factor '(5 + 6i)' equal to zero and attempt to solve:

Simplifying
5 + 6i = 0

Solving
5 + 6i = 0

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

Add '-5' to each side of the equation.
5 + -5 + 6i = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 6i = 0 + -5
6i = 0 + -5

Combine like terms: 0 + -5 = -5
6i = -5

Divide each side by '6'.
i = -0.8333333333

Simplifying
i = -0.8333333333
Solution
i = {0.6666666667, -0.8333333333}

See similar equations:

| 4a-5+3=6+2a | | -(6+4)+1=10 | | -3x-4+3x+9=-19 | | -4x+2=-7+11 | | x^2+10=2x | | 12=x-3y | | 4x+67=8x+17 | | 5.2x-26.3=0.47x-8 | | y-3x=12 | | -3.1u=11.6 | | 12=-4(5-2x) | | 2v=12 | | 12.8=3.2s | | 12=-24 | | 12.8=3.2 | | -10=-5x+8+2x | | (y^2)-(3*y)=(2*x)-(x^2) | | -98+123= | | 3(x-1)=32.4 | | 3(x-1)=32.4 | | -6(0.2x+0.4)-2.6=-0.2 | | 3.6=z+3.4 | | 7x+5-4x=-13 | | 3y-3y-2x-3y=8 | | 6.6f=72.6 | | 35=-6x+8-6-5x | | 7(5a-b)-7(3ab-4a)= | | 2m+12=3m-1 | | y=12x-20 | | 20x-8-12x+3=24x-8-16x+12 | | X-4.6=19.1 | | ax+yq=m |

Equations solver categories