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All real numbers are solutions. The equation is true for every real value of
.
Solución
Let’s solve the equation step by step:
Step 1: Expand both sides
Expand the left side by distributing the 2:
Simplify the right side by combining like terms:
Step 2: Rewrite the equation with simplified sides
Step 3: Analyze the equation
Subtract
from both sides:
This simplifies to:
Conclusion:
The equation simplifies to a true statement
, which means that all real numbers are solutions to the equation. There is no unique solution for
; instead, any real number will satisfy the equation.
Answer:
All real numbers are solutions. The equation is true for every real value of .
All real numbers are solutions. The equation is true for every real value of
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Como
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Bonus Knowledge
Let’s simplify the equation step-by-step! Start by distributing the 2 on the left side:
. Now, the right side combines like terms:
.
Now your equation looks like this:
. This is always true, meaning that the equation has infinitely many solutions!
It’s like finding an old, familiar friend in math; sometimes solutions aren’t just numbers but entire universes of possibilities! Keep that in mind when dealing with variables—sometimes they lead to unexpected friendships!
To further your understanding, consider practicing with different equations. Try altering coefficients or constants and see how the nature of the solutions changes. It’s a fantastic way to solidify your comprehension and embrace the wonders of algebra!
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