Simplifying Algebraic Expressions: 14x/x+1-9x-30/x-4=0
In this article, we will discuss how to simplify the algebraic expression 14x/x+1-9x-30/x-4=0. This type of expression is commonly encountered in mathematics and physics, and understanding how to simplify it is crucial for solving equations and inequalities.
Step 1: Simplify the Fractions
The given expression has two fractions: 14x/x and 30/x. We can simplify these fractions by canceling out the common terms.
14x/x = 14 (since x/x = 1)
30/x = 30/x (no common terms to cancel)
So, the simplified expression becomes:
14 + 1 - 9x - 30/x - 4 = 0
Step 2: Combine Like Terms
Next, we can combine the like terms in the expression.
14 + 1 - 4 = 11 (combining constants)
-9x remains as it is (no like terms to combine)
-30/x remains as it is (no like terms to combine)
So, the simplified expression becomes:
11 - 9x - 30/x = 0
Step 3: Rearrange the Terms
Finally, we can rearrange the terms to put the equation in a more familiar form.
-9x - 30/x = -11
This is the simplified form of the original expression.
Conclusion
In this article, we have demonstrated how to simplify the algebraic expression 14x/x+1-9x-30/x-4=0. By canceling out common terms, combining like terms, and rearranging the expression, we have arrived at a simplified form of the equation. This technique can be applied to a wide range of algebraic expressions, making it an essential tool for mathematicians and physicists.
