The steps of solving the equation by matching method are as follows:

1, turn the equation into a general formula (the quadratic coefficient is 1).

2. Move the constant term of the general formula to the right of the equation.

3, formula, the left and right sides of the equation at the same time add half the square of the first coefficient.

4. Write the left side of the equation as the square of the algebraic expression containing the unknown number.

5. Solve the equation by direct Kaiping method.

Meaning of equation

An equation refers to an equation containing unknowns. It is an equation that represents the equal relationship between two mathematical expressions (such as two numbers, functions, quantities and operations), and the value of the unknown quantity that makes the equation hold is called "solution" or "root". The process of finding the solution of the equation is called "solving the equation".

By solving the equation, we can avoid the difficulty of reverse thinking and directly list the equations with the quantity to be solved. There are many forms of equations, such as one-dimensional linear equation, two-dimensional linear equation, one-dimensional quadratic equation and so on. , can also be combined into equations to solve multiple unknowns.

In mathematics, an equation is a statement containing one or more variables. Solving an equation involves determining which variables have values that make the equation valid. Variables are also called unknowns, and the value of the unknowns satisfying the equation is called the solution of the equation.

An equation must be an equation, but an equation is not necessarily an equation. Example: a+b= 13 conforms to the equation, and there are unknowns. This is an equation and an equation. 1+ 1=2, 100× 100= 10000。 These two formulas are consistent with the equation, but there are no unknowns, so they are not equations.

In the definition, the equation must be an equation, but there can be other equations, such as 1+ 1 = 2,100×10000 =10000, all of which are equations. Obviously, the range of the equation is larger.

The solution of an equation means that the root of the equation is the equivalent of unknown quantities on both sides of the equation, and it means the solution of a unary equation, which can usually be used in general. The process of solving the equation can also be said to be the process of solving the unknown quantity in the equation, or the process of explaining that the equation has no solution is called solving the equation.