3(2i+7)=6i+21

To solve the equation, we need to distribute the 3 to both terms inside the parentheses:

3 * 2i + 3 * 7 = 6i + 21

Simplifying, we have:

6i + 21 = 6i + 21

Now, subtracting 6i from both sides, we get:

21 = 21

Since both sides of the equation are equal, the solution is all real numbers.

3(2i−7)=15

To solve the equation, we need to distribute the 3 to both terms inside the parentheses:

3 * 2i - 3 * 7 = 15

Simplifying, we have:

6i - 21 = 15

Now, add 21 to both sides, we get:

6i = 36

Finally, divide both sides by 6:

i = 6

Therefore, the solution to the equation is i = 6.

To solve the equation 3(2i+7) = 6i+21 step-by-step, follow these actions:

1. Distribute 3 to the terms inside the parentheses:
3 * 2i + 3 * 7 = 6i + 21
6i + 21 = 6i + 21

2. Since the equation on both sides of the equal sign is the same, we can conclude that the equation is true.

Hence, the solution to the equation is all complex numbers.