Question

Solve the equation 5(y + 8)(-y - 4) = 0. Write down the solution, including the values of 'y' that satisfy the equation. You may use properties of exponents and polynomial expressions to solve it.

Answer 1

The equation 5(y + 8)(-y - 4) = 0 has two solutions for the variable y, which are y = -8 and y = -4, found by setting each factor in the equation to zero.

Step-by-step explanation:

To solve the equation 5(y + 8)(-y - 4) = 0, we recognize that the product of several factors is zero if at least one of the factors is zero. This means we can set each factor equal to zero and solve for the variable y.

• First factor: y + 8 = 0 → y = -8
• Second factor: -y - 4 = 0 → -y = 4 or y = -4

Therefore, the values of y that satisfy the equation are y = -8 and y = -4.