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4 votes
Solve for x.
(13x + 2)
(5x – 7)
(3x – 4)

User Ashok R
by
8.0k points

1 Answer

6 votes

Final answer:

To solve the equation ( 13x + 2 ) ( 5x – 7 ) ( 3x – 4 ), we find where the expression equals zero by setting each factor to zero individually, resulting in the solutions x = -2/13, x = 7/5, and x = 4/3.

Step-by-step explanation:

To solve the equation (13x + 2)(5x – 7)(3x – 4), we must find the values of x that make the expression equal to zero. This is a product of three factors, and a product equals zero only when at least one of the factors is zero. Therefore, we can set each factor equal to zero and solve for x separately.

  1. 13x + 2 = 0 → x = -2/13
  2. 5x – 7 = 0 → x = 7/5
  3. 3x – 4 = 0 → x = 4/3

Thus, the equation has three real solutions for x: -2/13, 7/5, and 4/3. It is often a good practice to check the answer to see if it is reasonable by substituting the values of x back into the original equation.

User Christiaan Maks
by
8.3k points

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