Final answer:
To find the value of k, we need to solve the equation 5(4x - k)(x - 1) = 0 using the given value for x as 1.5. Substituting x = 1 into the equation, we can solve for k and find that k = 4.
Step-by-step explanation:
To find the value of k, we need to solve the equation 5(4x - k)(x - 1) = 0 using the given value for x as 1.5.
We can solve this equation by setting each factor inside the parentheses equal to zero and solving for x. Since 5 multiplied by zero gives zero, we have:
- 4x - k = 0
- x - 1 = 0
From the second equation, we find that x = 1.
Substituting this value of x into the first equation, we have:
- 4(1) - k = 0
Simplifying further, we obtain:
- 4 - k = 0
- - k = -4
Finally, we solve for k by multiplying both sides of the equation by -1:
- k = 4