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An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, often referred to as the lefthand side (LHS) and the righthand side (RHS), separated by an equals sign (=). The LHS and RHS of an equation contain mathematical expressions that may include variables, constants, arithmetic operations, functions, and other mathematical symbols.
The purpose of an equation is to represent a relationship or a balance between the quantities or values on both sides. By solving an equation, you determine the values of the variables that satisfy the equality. These values are called solutions or roots of the equation.
Equations are fundamental in mathematics and are used to model various realworld phenomena, solve problems, and make predictions. They appear in numerous branches of mathematics, including algebra, calculus, physics, engineering, and economics. Equations are often represented symbolically and can be manipulated and transformed using mathematical operations to simplify or solve them.