Linear Equation
Solve Linear Equation step by step — enter coefficients or expressions to get roots, factors, or simplified forms with detailed algebraic working.
Formula
x = -b / a
To solve ax + b = 0, subtract b from both sides (ax = -b) and then divide by a.
Worked Examples
Example 1: Simple Equation
Problem:2x - 4 = 0
Solution:2x = 4 → x = 4/2
Result:x = 2
Example 2: Negative Slope
Problem:-3x + 9 = 0
Solution:-3x = -9 → x = -9/-3
Result:x = 3
Example 3: Fractional Result
Problem:4x + 5 = 0
Solution:4x = -5 → x = -5/4
Result:x = -1.25
Frequently Asked Questions
What is a linear equation?
A linear equation is an algebraic equation in which each term has an exponent of one and the graphing of the equation results in a straight line.
How are linear equations used in real life?
They are used for rate problems (speed/distance), budgeting (fixed cost + variable cost), and converting units (like Celsius to Fahrenheit).
Can a linear equation have two solutions?
No, a linear equation in one variable can have exactly one solution, no solution, or infinite solutions. It cannot have exactly two.