Basic Algebra/Solving Quadratic Equations/The Zero Product Property
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Vocabulary
[edit | edit source]Lesson
[edit | edit source]The zero property is based on the elementary concept that when you multiply two numbers and the answer is zero, then one of the numbers multiplied must be zero.
Rule: if a × b = 0, then a = 0 or b = 0.
Meaning that the zero property establishes that a or b has to equal zero in order for the result to be zero, a or b could be any random number while the other variable is zero so that result would still be zero.
Example Problems
[edit | edit source](x+5)(x-3)=0
x+5=0 x-3=0
-5 -5 +3 +3
x=-5 x=3
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