What are the solutions to the quadratic equation 3(x+5)(x−7)=0?
Solving an equation whose product is zero is by setting each factor to zero.
3 ( x + 5 ) ( x − 7) = 0
Divide both sides by 3
( x + 5 ) ( x − 7) = 0
x + 5 = 0 ⇒ x = - 5
x - 7 = 0 ⇒ x = 7
The solutions are x = - 5 and x = 7
Bosnian's approach is much better.
To find the solutions to the quadratic equation 3(x+5)(x−7)=0, we can use the zero product property. The zero product property states that if a product of factors is equal to zero, then one or more of the factors must be equal to zero.
So, we set each factor equal to zero and solve for x:
x + 5 = 0
x = -5
x - 7 = 0
x = 7
Therefore, the solutions to the quadratic equation 3(x+5)(x−7)=0 are x = -5 and x = 7.