(-7x+3)+(4x^2+1/2x-10)
Simplify answer -
-14x^2+8x^2-13 over denominator of 2?
To simplify the expression (-7x+3)+(4x^2+(1/2)x-10), we combine like terms.
First, let's simplify the term (-7x + 3) by itself. There are no like terms to combine, so we leave it as is.
Next, let's simplify the term (4x^2 + (1/2)x - 10) by itself. Again, there are no like terms to combine.
Now, we can combine the two simplified terms:
(-7x + 3) + (4x^2 + (1/2)x - 10) = -7x + 3 + 4x^2 + (1/2)x - 10
To add the terms together, we need a common denominator for the x terms. In this case, we can multiply the whole equation by 2 to eliminate fractions:
2(-7x + 3) + 2(4x^2 + (1/2)x - 10) = -14x + 6 + 8x^2 + x - 20
Now, we can combine like terms:
-14x + 6 + 8x^2 + x - 20 = 8x^2 - 14x + x + 6 - 20
Simplifying further:
8x^2 - 14x + x + 6 - 20 = 8x^2 - 13x - 14
Now, we have the expression -14x^2 + 8x^2 - 13x - 14 as the simplified form of the original expression.
To express the answer over a denominator of 2, we multiply the entire expression by 1/2:
(1/2)(8x^2 - 13x - 14) = (8/2)x^2 - (13/2)x - (14/2)
Simplifying further:
4x^2 - (13/2)x - 7
Therefore, the simplified expression, with the answer expressed over a denominator of 2, is 4x^2 - (13/2)x - 7.