Solving For K In 8K + 2M + 3M - K

Solve k^28k48=0 by Completing the Square YouTube from www.youtube.com

Introduction

As a professional teacher, it is important to understand how to solve equations to help students understand complex problems. One such problem is solving for k in the equation 8k + 2m + 3m - k. In this article, we will discuss how to approach this equation and provide a step-by-step solution.

Understanding the Equation

Before we can solve for k, we must first understand the equation itself. The equation in question is a combination of variables and constants. The variables are represented by k and m, while the constants are represented by the numbers 8, 2, and 3.

Step 1: Simplify the Equation

To solve for k, we must first simplify the equation by combining like terms. We can do this by adding the coefficients of k and the coefficients of m. 8k + 2m + 3m - k = (8 - 1)k + (2 + 3)m Simplifying further, we get: 7k + 5m

Step 2: Isolate K

Now that we have simplified the equation, we can isolate k by getting rid of the coefficient of m. To do this, we need to subtract the coefficient of m from both sides of the equation. 7k + 5m - 5m = 0 Simplifying further, we get: 7k = 0

Step 3: Solve for K

Finally, we can solve for k by dividing both sides of the equation by the coefficient of k. 7k/7 = 0/7 Simplifying further, we get: k = 0

Conclusion

In conclusion, solving for k in the equation 8k + 2m + 3m - k requires simplifying the equation by combining like terms, isolating k, and then solving for k by dividing both sides of the equation by the coefficient of k. By following these steps, we can solve for k and understand how to approach similar equations in the future.