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An equation is a mathematical statement, in symbols, that two things are the same (or equivalent). Equations are written with an equal sign. Equations are often used to state the equality of two expressions containing one or more variables.

In mathematics, a quadratic equation is a polynomial equation of the second degree. The general form is

ax² + bx + c = 0

where a ≠ 0. (For a = 0, the equation becomes a linear equation.)

The letters a, b, and c are called coefficients: the quadratic coefficient a is the coefficient of x², the linear coefficient b is the coefficient of x, and c is the constant coefficient, also called the free term or constant term.

Quadratic equations are called quadratic because quadratus is Latin for "square"; in the leading term the variable is squared.

Solving an equation means finding a value for the variable that makes the equation true.

How many legs in total do a chicken, two ducks,and two sheep have?