Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solve the following equation.
(x - 1)(4x + 3) = 0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A . The solution set is _______
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
B . There is no solution.

Sagot :

wegnerkolmp2741o

Answer:

The solution set is 1, -3/4

Step-by-step explanation:

(x - 1)(4x + 3) = 0

We can use the zero product property to solve for x

x-1 =0  4x+3 =0

x=1          4x=-3

                 x = -3/4

The solution set is 1, -3/4

The solutions to the equation (x - 1)(4x + 3) = 0 are x = 1 and x = -3/4.

To solve this, we need to understand that if the product of two factors is zero, then at least one of the factors must be zero. So, we set each factor equal to zero and solve for x:

  1. x - 1 = 0
    Adding 1 to both sides gives us:
    x = 1
  2. 4x + 3 = 0
    Subtracting 3 from both sides gives us:
    4x = -3
    Dividing both sides by 4 gives us:
    x = -3/4

Thus, the solutions are x = 1 and x = -3/4. Therefore, the solution set is 1, -3/4.

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.