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The equation 2(4x + 1) = 4(2x + 5) has no solutions. Which of the following best explains why?

User Mittal
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1 Answer

7 votes

Answer:

See below

Explanation:


2(4x + 1) = 4(2x + 5)


8x + 2 =8x + 20


\\exists x \in \mathbb{R} \text{ That makes the equality true}

The equation has no solution because no matter what the value we plug for
x in the equation, it will not be true and will lead to a contradiction. This is the meaning of not having a solution.

User Mehul Gupta
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7.0k points