Equation

/ɪˈkweɪ.ʒən/

Meaning & Definition

noun
A mathematical statement that asserts the equality of two expressions, typically containing variables, constants, and operators.
The equation 2x + 3 = 7 can be solved to find the value of x.
A situation or problem that is represented by an equation, often used in various fields such as physics or economics.
The physicist presented a complex equation to describe the movement of particles.
The balancing of different factors or elements, often used in a broader, metaphorical sense.
In our budget, the equation of income and expenses must always balance.
A mathematical equality that involves variables.
Solving a quadratic equation requires finding the roots of the function.
A formal representation of a relationship between quantities.
The economists used a supply and demand equation to predict market behavior.

Etymology

From Latin 'aequatio', meaning 'equality, balance'.

Common Phrases and Expressions

solve an equation
To find the value of the unknown variable that satisfies the equation.
equation of state
A relationship between state variables in thermodynamics.
balance the equation
To ensure that both sides of an equation are equal.

Related Words

variable
A symbol used to represent an unknown quantity in an equation.
function
A relationship where a value depends on one or more variables.
expression
A combination of numbers and letters that represents a mathematical relationship.

Slang Meanings

Equation is sometimes used to mean a situation or a mix of factors that lead to a result.
The equation for success includes hard work and networking.
In casual context, it can refer to balancing different aspects of life.
Trying to maintain the equation of work and life is challenging.