Question

2(3j + 3) = 3(2 + 2j)

Answer 1

infinitely many solutions

the solution is any real number

`\huge\boxed{j\in\mathbb{R}}`

Explanation:

`2(3j+3)=3(2+2j)\qquad|\text{use the distributive property}\\\\(2)(3j)+(2)(3)=(3)(2)+(3)(2j)\\\\6j+6=6+6j\qquad|\text{subtract}\ 6j\ \text{from both sides}\\\\6=6\qquad\bold{TRUE}\\\\j\in\mathbb{R}`