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1 vote
1 vote
Please help!
5x^2 - 3x - 2 = 0
Solve using the zero-factor property.

User Zachary Schuessler
by
2.4k points

2 Answers

20 votes
20 votes

Answer:


5 {x}^(2) - 3x - 2 = 0 \\ 5 {x}^(2) - 5x + 2x - 2 = 0 \\ 5x(x - 1) + 2(x - 1) = 0 \\ (x - 1)(5x + 2) = 0 \\ x = 1 \: and \: (( - 2))/(5)

  • x = 1 and (-2/5) is the right answer.
User Atyc
by
3.0k points
14 votes
14 votes

Answer:

x = -2/5

x = 1

Explanation:

5x² - 3x - 2 = 0

(5x + 2)(x - 1) = 0

⇒ 5x + 2 = 0

⇒ 5x = -2

⇒ x = -2/5

⇒ x - 1 = 0

⇒ x = 1

User Cristian Bitoi
by
3.2k points