1. What is a First-Degree Linear Equation?

A first-degree linear equation is an algebraic equation of the form Ax + B = 0, where A and B are constants, and x is the variable. The solution is x = -B/A when A ≠ 0.

2. How Does the Calculator Work?

The calculator uses the standard solution formula:

Where:

• \( A \) — Coefficient of x (must not be zero)
• \( B \) — Constant term
• \( x \) — Variable to solve for

Special Cases:

• If A = 0 and B = 0: Infinite solutions (identity)
• If A = 0 and B ≠ 0: No solution (contradiction)

3. Importance of Linear Equations

Details: First-degree equations are fundamental in algebra and appear in various real-world applications from physics to economics. They form the basis for more complex mathematical concepts.

4. Using the Calculator

Tips: Enter the coefficient A and constant B. The calculator will solve for x. A cannot be zero for a unique solution.

5. Frequently Asked Questions (FAQ)

Q1: What if A is zero?
A: If A is zero and B is also zero, the equation is true for all x. If A is zero but B isn't, there's no solution.

Q2: Can this solve equations with fractions?
A: Yes, just enter the fractional values as decimals or use the exact fractions in the input.

Q3: How precise are the results?
A: Results are calculated with high precision and rounded to 4 decimal places.

Q4: Can this solve for other variables?
A: This calculator specifically solves for x in the standard form Ax + B = 0.

Q5: What about more complex equations?
A: For equations with multiple terms, simplify them to standard form (Ax + B = 0) first.