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 $x$

$x= -5/4$

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