Question
3i + 5 = 2i −7 simplfy this
Answers
GPT-4o mini
To simplify the equation \(3i + 5 = 2i - 7\), follow these steps:
1. Move all terms involving \(i\) to one side and the constant terms to the other side. Subtract \(2i\) from both sides:
\[
3i - 2i + 5 = -7
\]
This simplifies to:
\[
i + 5 = -7
\]
2. Next, subtract \(5\) from both sides:
\[
i = -7 - 5
\]
So:
\[
i = -12
\]
Therefore, the simplified solution is:
\[
i = -12
\]
1. Move all terms involving \(i\) to one side and the constant terms to the other side. Subtract \(2i\) from both sides:
\[
3i - 2i + 5 = -7
\]
This simplifies to:
\[
i + 5 = -7
\]
2. Next, subtract \(5\) from both sides:
\[
i = -7 - 5
\]
So:
\[
i = -12
\]
Therefore, the simplified solution is:
\[
i = -12
\]