SOLUTION: Solve the equation by the method of factoring. Use the factoring technique ac method and solve following with the zero product rule. 7x^2-29x=30

Algebra ->  Exponents -> SOLUTION: Solve the equation by the method of factoring. Use the factoring technique ac method and solve following with the zero product rule. 7x^2-29x=30      Log On


   



Question 1004927: Solve the equation by the method of factoring. Use the factoring technique ac method and solve following with the zero product rule.
7x^2-29x=30

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Starting from 7x^2-29x=30, we get to
7x^2 - 29x - 30 = 0
We need factors of 7(30) = 210 that have a difference of 29...
Those factors are 6 and 35...so we lay out the binomial factors
(7x + 6)(x - 5) = 0
and solving this we get
7x + 6 = 0
and x = -6/7
x - 5 = 0
and x = 5