1, denominator: In the process of solving the equation, we need to convert every fraction in the equation into an integer. This can be achieved by multiplying by the reciprocal of each denominator. If the denominator is a polynomial, we need to decompose it into factors and then multiply each factor separately.
2. Brackets: If there are brackets in the integer equation, we need to remove them. The way to remove brackets is to delete them directly, but it should be noted that if there is a negative sign in front of brackets, everything in brackets will change sign after removing brackets.
3. Move items: move items with unknown numbers to one side of the equal sign and other items to the other side. In our example, we move 9x and 6 to both sides of the equal sign and get 9x-3x=-6, that is, 6x=-6. We got the solution of the equation. The steps of solving equations in the sixth grade of primary school can be summarized as denominator, brackets and shift term.
Common types of solving equations:
1, a linear equation with one variable. This is the most basic and common equation type, in the form of ax+b=cx+d(a, B, C, D are constants, and a≠0). This type of equation can only be solved by moving terms and merging similar terms.
2. One-variable quadratic equation. This kind of equation is very common in junior high school mathematics, and its form is AX 2+BX+C = 0 (A, B, C are constants, and a≠0). For this kind of equation, we usually use the root formula or factorization method to solve it.
3. Multivariate linear equation. This kind of equation involves many unknowns, which need to be transformed into low-order equations (such as one-dimensional linear equations or two-dimensional linear equations) by special methods (such as gauss elimination) and then solved. When solving these equations, it is necessary to choose appropriate methods according to their characteristics, such as factorization, formula, graphic method and so on. Remember to pay attention to the range of variables, the characteristics of the equation and the background of practical problems when solving the equation to ensure the correctness of the solution.