info This trick only works when the sum is 0!

You know that if you multiply two binomials you get a answer that is in ax^2+bx+c form, but there is a simpler way to solve for x if your answer equals to 0.

How To Use It

$$ Q: (2x−1)(4x−3)=0 First split the equations into two. (2x-1)=0 (4x-3)=0 Then solve normally. 2x−1=0⇒x= 1/2 or 0.50

4x-3=0⇒x = 3/4 or 0.75 ​ $$ So, step by step, here is what to do.

Why 0?

The Zero Product Property states that if two numbers product is 0 then one of the factors is 0. Another way of writing this is:

If a⋅b=0, then either a=0 or b=0 Note that this property doesn’t work for sums! When the product equals zero, you can conclude that one or more of the factors must be zero, but when the sum equals zero, you just need to solve the equation directly (i.e., isolate the variable). $$ SUM EQUALS ZERO: 4x-3=0

FACTORS EQUALS ZERO: X*0 $$

Test Your Knowledge!

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