Answer:
Step-by-step explanation:To find the solutions to the equation
(
�
−
7
)
(
�
−
5
)
=
0
(x−7)(x−5)=0, we can use the zero-product property, which states that if the product of two factors equals zero, then at least one of the factors must be zero.
So, setting each factor equal to zero:
�
−
7
=
0
x−7=0
Add 7 to both sides:
�
=
7
x=7
�
−
5
=
0
x−5=0
Add 5 to both sides:
�
=
5
x=5
Therefore, the two solutions to the equation
(
�
−
7
)
(
�
−
5
)
=
0
(x−7)(x−5)=0 are
�
=
7
x=7 and
�
=
5
x=5.