ax + b = 0 for x

Question

Solve for each of the formulas for the indicated variable

Answer 1

To solve the equation \( ax + b = 0 \) for \( x \), we can follow these steps:

1. Isolate the term with \( x \): Start by moving \( b \) to the other side of the equation. \[ ax = -b \]

2. Solve for \( x \): Now, divide both sides of the equation by \( a \) (assuming \( a \neq 0 \)). \[ x = -\frac{b}{a} \]

Thus, the solution for \( x \) in the equation \( ax + b = 0 \) is: \[ x = -\frac{b}{a} \]