Evaluating the Expression 3x(4x-5)+3 for x=1/2
In this article, we will evaluate the algebraic expression 3x(4x-5)+3 for x=1/2.
The Given Expression
The given expression is:
3x(4x-5)+3
Substituting x=1/2
To evaluate the expression, we will substitute x=1/2 into the expression:
3(1/2)(4(1/2)-5)+3
Evaluating the Expression
First, let's evaluate the expression inside the parentheses:
4(1/2) = 4/2 = 2
So, the expression becomes:
3(1/2)(2-5)+3
= 3(1/2)(-3)+3
= 3(-3/2)+3
= -9/2 + 3
Now, let's simplify the expression:
= -9/2 + 6/2
= -3/2
Therefore, the value of the expression 3x(4x-5)+3 for x=1/2 is -3/2.
