Question 268633
1.14x^(2)-(686)/(4)*x^(2)-196

Reduce the expression -(686)/(4) by removing a factor of 2 from the numerator and denominator.
1.14x^(2)-(343)/(2)*x^(2)-196

Multiply -(343)/(2) by x^(2) to get -(343x^(2))/(2).
1.14x^(2)-(343x^(2))/(2)-196

To add fractions, the denominators must be equal.  The denominators can be made equal by finding the least common denominator (LCD).  In this case, the LCD is 2.  Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
1.14x^(2)*(2)/(2)-(343x^(2))/(2)-196

Complete the multiplication to produce a denominator of 2 in each expression.
(2.28x^(2))/(2)-(343x^(2))/(2)-196

Combine the numerators of all expressions that have common denominators.
(2.28x^(2)-343x^(2))/(2)-196

Combine all like terms in the numerator.
(-340.72x^(2))/(2)-196

Move the minus sign from the numerator to the front of the expression.
-(340.72x^(2))/(2)-196

Divide -340.72 by 2 to get -170.36.
-170.36x^(2)-196