Can you apply the zero product property in the problem #(x+6)+(3x-1)=0#?

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Answer 1 · 2018-05-30T17:58:42

No.

No,

#(x+6)+(3x-1)=0#

If these terms in the parenthesis were being multiplied then the "zero product property" would apply but they are being added so it does not.

simplify by combining like terms:

#x+6+3x-1=0#

#4x+5=0#

#4x=-5#

Now the "zero product property" does not apply to solve for #x#

#x= -5/4#