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

Answer 1

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#

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Answer 2

Isaiah Anthony

Yes, you can apply the zero product property in the problem (x+6)+(3x-1)=0. First, simplify the equation to combine like terms: (x + 6) + (3x - 1) = 0 becomes 4x + 5 = 0. Then, apply the zero product property by setting each factor equal to zero and solving for x: 4x = -5, x = -5/4.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.