What are the solutions to the equation 3(x - 4)(x + 5) = 0?

Solution:

Given, the equation is 3(x - 4)(x + 5) = 0

We have to find the solutions to the given equation.

(x - 4)(x - 5) = 0

Using zero product property,

x - 4 = 0 ⇒ x = 4

x + 5 = 0 ⇒ x = -5

Therefore, the solutions are x = 4 and x = -5.

Example:

What are the solutions to the equation 8(x + 4)(x - 5) = 0?

Solution:

Given, the equation is 8(x + 4)(x - 5) = 0

We have to find the solutions to the given equation.

(x + 4)(x - 5) = 0

Using zero product property,

x + 4 = 0 ⇒ x = -4

x - 5 = 0 ⇒ x = 5

Therefore, the solutions are x = -4 and x = 5.

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What are the solutions to the equation 3(x - 4)(x + 5) = 0?

Summary:

The solutions to the equation 3(x - 4)(x + 5) are x = 4 and x = -5.