Correct answer: \(-\frac{b}{a}\)
Explanation:
The given equation is a linear equation in one variable:
ax + b = 0
Our goal is to find the value of x that satisfies this equation.
Step 1: Move constant term to the right-hand side
Subtract b from both sides:
ax + b - b = 0 - b
⇒ ax = -b
Step 2: Isolate x
Divide both sides by a (assuming a ≠ 0):
ax ÷ a = -b ÷ a
⇒ x = -b⁄a
So, the solution to the equation ax + b = 0 is x = -b⁄a.