Question
4x-3(x+4)-8 no solution or exactly one solution
Answers
GPT-4o mini
To determine if the equation \( 4x - 3(x + 4) - 8 \) has no solution or exactly one solution, we can simplify and analyze the equation.
Start by distributing the \( -3 \):
\[
4x - 3(x + 4) - 8 = 4x - 3x - 12 - 8
\]
Combine like terms:
\[
4x - 3x - 12 - 8 = x - 20
\]
Now, we have an expression \( x - 20 \). It appears you may have been looking for an equality to solve (such as \( x - 20 = 0 \)).
If we set this equal to zero:
\[
x - 20 = 0
\]
Solving for \( x \):
\[
x = 20
\]
This shows that the equation has exactly one solution, which is \( x = 20 \).
If you meant a different equation (e.g., setting the expression equal to something other than zero or asking for an analysis of an identity), please provide that detail, and I'd be glad to help further!
Start by distributing the \( -3 \):
\[
4x - 3(x + 4) - 8 = 4x - 3x - 12 - 8
\]
Combine like terms:
\[
4x - 3x - 12 - 8 = x - 20
\]
Now, we have an expression \( x - 20 \). It appears you may have been looking for an equality to solve (such as \( x - 20 = 0 \)).
If we set this equal to zero:
\[
x - 20 = 0
\]
Solving for \( x \):
\[
x = 20
\]
This shows that the equation has exactly one solution, which is \( x = 20 \).
If you meant a different equation (e.g., setting the expression equal to something other than zero or asking for an analysis of an identity), please provide that detail, and I'd be glad to help further!