Question

Select all values of a that are solutions to the equation (x - 5) (7x - 21) = 0.

-7
-5
0
-3
7
3
5

Answer 1

x = 5, x = 3

Explanation:

Hello!

For the equation (x-5)(7x - 21) = 0, we can use the zero-product property to solve the equation.

The zero product property states that for factors when multiplied equal to 0, you can set each factor to 0 and solve for the variable inside.

Using this property, we can say:

• (x - 5) = 0
• (7x - 21) = 0

Solve for x

• (x - 5) = 0
  x = 5
• (7x - 21) = 0
  7x = 21
  x = 3

The solutions are x = 5, and x = 3.