The "Re" in this equation refers to the real part of a complex number. In other words, it is the numerical value of the complex number without the imaginary component (in this case, 4i).
To solve for x in this equation, you can start by isolating the variable on one side of the equation. In this case, you can subtract 1 from both sides, then multiply both sides by x+4i. This will leave you with a quadratic equation that you can solve using the quadratic formula or by factoring.
Yes, this equation can have multiple solutions for x. This is because the complex numbers have both a real and imaginary component, meaning there can be multiple values that satisfy the equation.
No, this equation requires the use of complex numbers to solve for x. The imaginary component is essential in finding the solutions to this equation.
To check your solution, you can substitute the value you found for x back into the original equation. If it satisfies the equation, then it is a valid solution. You can also use a graphing calculator to graph the equation and confirm that the value you found for x is the intersection point on the graph.