Exactly one
Exactly two
Infinitely many
Zero
Explanation
Correct answer: C.
Choice C is correct. Applying the distributive property to each side of the given equation yields . Applying the commutative property of addition to the right-hand side of this equation yields . Since the two sides of the equation are equivalent, this equation is true for any value of . Therefore, the given equation has infinitely many solutions.
Desmos solution:
Note: The matching left- and right-side outputs show the equation is an identity, so it holds for every x.
Enter in Desmos:
Reviewed and rewritten by CookSAT
Why the other choices are wrong
Choice A
Choice A is incorrect and may result from conceptual or calculation errors.
Choice B
Choice B is incorrect and may result from conceptual or calculation errors.
Choice D
Choice D is incorrect and may result from conceptual or calculation errors.
Student discussion
jasonleipow 2 likes
If they line up to be the same, then there are infinite solutions because they are equivalent
atrench2028 0 likes
joaoguilhermelameira2 0 likes
louvinsky 0 likes
stupid ah website
asara 0 likes