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Answer :
To solve the expression [tex]\( x^2 + 0.5x + 6.25 - 14 + 6.25 \)[/tex], we need to simplify by combining like terms. Let's break it down step by step:
1. Identify and combine the constant terms:
- In the expression, we have the constant terms [tex]\( 6.25 \)[/tex], [tex]\(-14\)[/tex], and another [tex]\( 6.25 \)[/tex].
2. Calculate the sum of the constant terms:
- First, combine the [tex]\( 6.25 \)[/tex] terms:
[tex]\[ 6.25 + 6.25 = 12.5 \][/tex]
- Now subtract 14 from 12.5:
[tex]\[ 12.5 - 14 = -1.5 \][/tex]
3. Rewrite the expression with the combined constants:
- Substitute the sum of constants back into the expression:
[tex]\[ x^2 + 0.5x - 1.5 \][/tex]
So, the simplified expression is [tex]\( x^2 + 0.5x - 1.5 \)[/tex].
1. Identify and combine the constant terms:
- In the expression, we have the constant terms [tex]\( 6.25 \)[/tex], [tex]\(-14\)[/tex], and another [tex]\( 6.25 \)[/tex].
2. Calculate the sum of the constant terms:
- First, combine the [tex]\( 6.25 \)[/tex] terms:
[tex]\[ 6.25 + 6.25 = 12.5 \][/tex]
- Now subtract 14 from 12.5:
[tex]\[ 12.5 - 14 = -1.5 \][/tex]
3. Rewrite the expression with the combined constants:
- Substitute the sum of constants back into the expression:
[tex]\[ x^2 + 0.5x - 1.5 \][/tex]
So, the simplified expression is [tex]\( x^2 + 0.5x - 1.5 \)[/tex].
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