1. Move term: move the constant term to the right of the equation.

2. Formula: Add the square of half of the absolute value of the first-order coefficient to both sides of the equation.

3. Deformation: the left side of the equation decomposes the factor, and the right side merges the same kind.

4. Square root: According to the meaning of square root, both sides of the equation are squares.

5. Solution: Solve a linear equation.

6. Definite solution: Write the solution of the original equation.

The concept of matching method:

Matching method refers to transforming a formula (including rational formula and transcendental formula) or a part of a formula into a completely flat way or the sum of several completely flat ways through continuous deformation. This method is often used in identity deformation, and it is one of the powerful means to solve the problem by discovering the hidden conditions in the topic.

In basic algebra, collocation method is a method for transforming quadratic polynomial into the sum of the square of linear polynomial and constant. This method converts the polynomial in the following form into coefficients A, B, C, D and E in the above expression, which can also be expressions and contain variables other than X. ..

Matching method is usually used to derive the root formula of quadratic equation: our aim is to turn the left side of the equation into a complete square. Since the complete square in the problem has the form of (x+y)2=x2+2xy+y2, 2xy=(b/a)x can be deduced, so y=b/2a. Add y2=(b/2a)2 to both sides of the equation, and you can get: this expression is called the root formula of quadratic equation.

The concept of solving equations in mathematics;

The value of the unknown that makes the left and right sides of the equation equal is called the solution of the equation. The process of finding all solutions of an equation or judging that an equation has no solution is called solving an equation. Equation is an equation that must contain unknowns. An equation is not necessarily an equation, but it must be an equation.

Equations with unknowns are called equations, or equations with unknowns are called equations. The value of the unknown quantity in the equation is called the solution or the root of the equation. Solving an equation is the process of finding the values of all the unknowns in the equation. An equation must be an equation, and an equation is not necessarily an equation. An equation without unknowns is not an equation.

Verification: generally, after solving the equation, verification is needed. Verification is to substitute the unknown value into the original equation to see if both sides of the equation are equal. If they are equal, then the value obtained is the solution of the equation.