Question:

If ax + b = 0, then x =

Updated On: Apr 5, 2025
  • -a
  • a
  • \(\frac{b}{a}\)
  • \(-\frac{b}{a}\)
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The Correct Option is D

Solution and Explanation

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.

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