Zero+Product+Property

__**Zero - Product Property**__
by: McKelly


 * __Definition of__ __Zero - Product Property__**
 * Zero - Product Property states that if the product of two factors is zero, then at least one of the factors must be zero.

If x(y - 2)=0, the zero product property states that either x=0 or y - 2=0, or both equal zero. , x=0 and y=2 would be solutions to this equation. If (x + 4)(x - 3)=0, the zero product property states that either x + 4=0 or x - 3=0, or both equal zero. , x=-4 and x =3 would be solutions to this equation. 1. (x+5) (x-2)= 0 ~ANSWER~ x=-5 or x= 2 2. x^2+3x-10= 0
 * Solution:**
 * Step 1:** (//x// + 5)(//x// – 1) = 0 (Given equation.)
 * Step 2:** //x// + 5=0 or //x// – 1=0 (Applying Zero-product property.)
 * Step 3:** //x// + 5 – 5=0 – 5 or //x// – 1 + 1=0 + 1 (Simplify the equations.)
 * S****tep 4:** //x//=- 5 or //x//=1
 * Step 5:** The solutions for the equation (//x// + 5)(//x// – 1) = 0 are 1 and – 5.

~ANSWER~ x= - 5 or x=2 3. (x+5)(x-4) =0 ~ANSWER~ x= -5 or x= 4 For simple problems such as (x+5)(x-4) all you have to do do the opposite of the number. For +5 you -5. For -4 you +4.