Solving the Equation: 16x - 20 = 0
In this article, we will explore the solution to the quadratic equation 16x - 20 = 0.
Understanding the Equation
The equation 16x - 20 = 0 is a quadratic equation, where x is the variable and 16 and -20 are constants. To solve this equation, we need to find the value of x that makes the equation true.
Method: Factoring
One way to solve this equation is by factoring. Factoring involves expressing the equation in the form (ax + b)(cx + d) = 0, where a, b, c, and d are constants.
Let's try to factor the equation 16x - 20 = 0:
16x - 20 = (4x - 5)(4x - 4) = 0
Solving for x
Now that we have factored the equation, we can set each factor equal to 0 and solve for x:
(4x - 5) = 0 or (4x - 4) = 0
Solving for x, we get:
4x - 5 = 0 --> 4x = 5 --> x = 5/4
4x - 4 = 0 --> 4x = 4 --> x = 1
Conclusion
Therefore, the solutions to the equation 16x - 20 = 0 are x = 5/4 and x = 1.
Check Your Understanding
Try solving the equation 16x - 20 = 0 using a different method, such as completing the square or using the quadratic formula. Do you get the same solutions?
