SOLUTION: 5x^2 - 80x = 240 - 15x^2

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 5x^2 - 80x = 240 - 15x^2      Log On


   

Question 134301: 5x^2 - 80x = 240 - 15x^2
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2-80x=240-15x%5E2 Start with the given equation


5x%5E2-80x-240%2B15x%5E2=0 Subtract 240 from both sides. Add 15x^2 to both sides.


20x%5E2-80x-240=0 Combine like terms


20%28x-6%29%28x%2B2%29=0 Factor the left side


Now set each factor equal to zero:
x-6=0 or x%2B2=0

x=6 or x=-2 Now solve for x in each case




So our solutions are

x=6 or x=-2