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

May 30, 2018

No.

#### Explanation:

No,

$\left(x + 6\right) + \left(3 x - 1\right) = 0$

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:

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

$4 x + 5 = 0$

$4 x = - 5$

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

$x = - \frac{5}{4}$