(k%2B1)%3D0-solve-by-factoring.jpeg "(4k+5)(k+1)=0 Solve By Factoring")
Solving the Equation (4k+5)(k+1) = 0 by Factoring
In this article, we will solve the equation (4k+5)(k+1) = 0 using the factoring method.
The Given Equation
The equation we are trying to solve is:
(4k+5)(k+1) = 0
Factoring the Equation
To solve this equation, we can start by factoring the left-hand side of the equation.
(4k+5)(k+1) = 0
We can set each factor equal to 0 and solve for k.
Solving for k
Case 1: 4k+5 = 0
Subtracting 5 from both sides gives us:
4k = -5
Dividing both sides by 4 gives us:
k = -5/4
Case 2: k+1 = 0
Subtracting 1 from both sides gives us:
k = -1
Solutions
Therefore, the solutions to the equation (4k+5)(k+1) = 0 are:
k = -5/4 and k = -1
Conclusion
In this article, we have successfully solved the equation (4k+5)(k+1) = 0 using the factoring method. The solutions to the equation are k = -5/4 and k = -1.
