Question

SOLVE THE EQUATION (Y-2)(Y-6)=0
Y=

Answer 1

@AkashdeepDeb

Answer 2

y = 2, y = 6

Answer 3

The zero-product property states: if a product equals zero, then at least one of the factors is zero.

y -2 and y - 6 are two factors.
When multiplied together, the product equals zero.
That can only happen if y - 2 = 0 or if y - 6 = 0.

Solve each equation and separate the answer with the word "or."
y - 2 = 0 or y - 6 = 0

Answer 4

@mathstudent55 i just i did a problem and it was (x-3)(3x+1)=0 and the answer was 3,-1/3 i really dont know how to do these times of problems

Answer 5

This is similar to the problem here. Any time you have a product of factors equal to zero, set each factor equal to zero.

For the original problem of this post, this is how the solution should look:

(y - 2)(y - 6) = 0
y - 2 = 0 or y - 6 = 0
y = 2 or y = 6

Answer 6

For the second problem you just posted, you solve it similarly:

\((x-3)(3x+1)=0\)

\(x - 3 = 0\) or \(3x + 1 = 0\)

\(x = 3 \) or \(3x = -1\)

\(x = 3 \) or \(x = -\dfrac{1}{3} \)