Solve the equation using the zero-product property. (2x - 2)(8x - 4) = 0

The final answers are x = 1 or x = 1/2.

Step-by-step explanation:

Given the equation is (2x - 2)(8x - 4) = 0.

The Zero-Product property says "if a*b=0, then a=0 or b=0 or both."

we have (2x - 2)(8x - 4) = 0.

It means (2x-2) = 0 or (8x-4) = 0.

2x = 2 or 8x = 4.

x = 2/2 or x = 4/8.

x = 1 or x = 1/2.

So, final answers are x = 1 or x = 1/2.

x=1 or  x= 1/2

Step-by-step explanation:

Given equation is:

(2x-2)(8x-4)=0

we have to find the value of x.

The Zero-Product Property states that

If x.y=0 then x=0 or y=0 or both.

Apply The Zero-Product Property to the given equation.

(2x-2)(8x-4)=0

2x-2=0 or 8x-4=0

First solve 2x-2=0

Adding 2 to both sides of above equation,we get

2x-2+2=0+2

2x+0=2

2x=2

Dividing by 2 to both sides of above equation,we get

2x/2=2/2

x=1

Now, solve 8x-4=0

Adding 4 to both sides of above equation,we get

8x-4+4=0+4

8x=4

Dividing by  8 to both sides of above equation,we get

8x/8=4/8

x=1/2

Hence,the solution is x=1 or x=1/2.