SOLUTION: {{{7x^2+24x+(13/25)x^2-16 -2x^2-(3/25)x^2-16}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: {{{7x^2+24x+(13/25)x^2-16 -2x^2-(3/25)x^2-16}}}      Log On


   

Question 111029: 7x%5E2%2B24x%2B%2813%2F25%29x%5E2-16+-2x%5E2-%283%2F25%29x%5E2-16
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
You are given the expression:
7x%5E2%2B24x%2B%2813%2F25%29x%5E2-16-2x%5E2-%283%2F25%29x%5E2-16.
To solve it, you first collect the like terms:
7x%5E2-2x%5E2%2B%2813%2F25%29x%5E2-%283%2F25%29x%5E2%2B24x-16-16
5x%5E2%2B%2810%2F25%29x%5E2%2B24x-32
5x%5E2%2B.6x%5E2%2B24x-32
Multiply by 10 to remove the decimal place that was created by calculating 10/25 = .6.
50x%5E2%2B6x%5E2%2B240x-320
56x%5E2%2B240x-320
Now divide by 8 to simplify:
7x%5E2%2B30x-40
At this point, you can stop, unless you were told to factor it or use the quadratic equation.