SOLUTION: 6x^3 + 7x^2 = 10x 6x^3 + 7x^2 - 10x = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: 6x^3 + 7x^2 = 10x 6x^3 + 7x^2 - 10x = 0      Log On


   

Question 721330: 6x^3 + 7x^2 = 10x
6x^3 + 7x^2 - 10x = 0
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
6x%5E3+%2B+7x%5E2+=+10x
6x%5E3+%2B+7x%5E2+-+10x+=+0
You've made the exactly correct first step. Next we factor, then we use the Zero Product Property:
x%286x%5E2+%2B+7x+-+10%29+=+0
x%286x-5+%29%28x%2B2%29+=+0
x = 0 or 6x-5 = 0 or x+2 = 0
Solving...
x = 0 or x = 5/6 or x = -2