SOLUTION: Solve the equation by factoring, show the complete solution (step by step). 5x^2=13x+6

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Solve the equation by factoring, show the complete solution (step by step). 5x^2=13x+6      Log On


   

Question 1087731: Solve the equation by factoring, show the complete solution (step by step).
5x^2=13x+6
Found 2 solutions by KMST, MathTherapy:
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
5x%5E2=13x%2B6
5x%5E2-13x-6=0
The next steps sometimes are done in the student's head
(or in penciled in/erased off trial and error process),
and the only thing written next is
%285x-2%29%28x%2B3%29=0
From there, making each factor equal to zero leads to the answer:
5x-2=0 --> 5x=2 --> highlight%28x=2%2F5%29
x%2B3=0 --> highlight%28x=-3%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

Solve the equation by factoring, show the complete solution (step by step).
5x^2=13x+6
Correct answer: