SOLUTION: 10) Solve the equation by the method of factoring. Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7. 7x

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: 10) Solve the equation by the method of factoring. Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7. 7x      Log On


   

Question 1058816: 10) Solve the equation by the method of factoring. Use the factoring technique discussed in Section 6.4 of our text, and solve following the methods discussed in Section 6.7. 7x^2-29x=30
Answer by solve_for_x(190) About Me  (Show Source):
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7x^2 - 29x = 30

7x^2 - 29x - 30 = 0

(7x + 6)(x - 5) = 0

Setting each term equal to 0 and solving for x gives:

7x + 6 = 0

7x = -6

x = -6/7

x - 5 = 0

x = 5

Solutions: x = -6/7, x = 5