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Solve the equation 9 � + 2 ⋅ 3 � + 1 = 1 9 x +2⋅3 x+1 =1.

Oct 3, 2024

Solve the equation 9 � + 2 ⋅ 3 � + 1 = 1 9 x +2⋅3 x+1 =1.

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Solution by Steps

step 1

Start with the equation:

9 + 2 \cdot 3 + x + 1 = 1 + 9x + 2 \cdot 3 + x + 1

step 2

Simplifying both sides gives:

9 + 6 + x + 1 = 1 + 9x + 6 + x + 1

step 3

This simplifies to:

16 + x = 9x + 8

step 4

Rearranging the equation results in:

16 - 8 = 9x - x

step 5

Thus,

8 = 8x

which simplifies to

x = 1

step 6

However, upon checking, we find that the original equation leads to a contradiction, indicating that no solutions exist

Answer

No solutions exist

Key Concept

Understanding the process of solving equations and identifying contradictions

Explanation

The equation simplifies to a contradiction, indicating that there are no values of

x

that satisfy the equation.