Final answer:
To find the positive value of x that satisfies the equation 5(x-3)(x+1) + 0 = 0, we can solve the quadratic equation.
Step-by-step explanation:
To find the positive value of x that satisfies the equation 5(x-3)(x+1) +0 = 0, we need to solve the quadratic equation. First, we expand the equation to get 5x² - 5x - 15 + 5x + 5 = 0. Simplifying further, we get 5x² - 10x - 10 = 0. Now, we can solve this quadratic equation using factoring, completing the square, or the quadratic formula. The solutions to the equation are x = -1 and x = 2. Since we are looking for a positive value of x, the answer is x = 2.