Solve by Factoring 2x^2+9x-5=0

Solve by Factoring 2x^2+9x-5=0
Factor by grouping.
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For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
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Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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Group the first two terms and the last two terms.
Factor out the greatest common factor (GCF) from each group.
Factor the polynomial by factoring out the greatest common factor, .
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
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Set the first factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
Set the next factor equal to and solve.
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Set the next factor equal to .
Subtract from both sides of the equation.
The final solution is all the values that make true.
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Name

Name one hundred ninety-two million two hundred three thousand three hundred sixty-six

Interesting facts

  • 192203366 has 16 divisors, whose sum is 294987840
  • The reverse of 192203366 is 663302291
  • Previous prime number is 79

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5

Name

Name two billion fifty-six million seven hundred sixty-one thousand four hundred thirty-three

Interesting facts

  • 2056761433 has 8 divisors, whose sum is 2174893056
  • The reverse of 2056761433 is 3341676502
  • Previous prime number is 41

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name seven hundred thirty-five million five hundred ninety thousand seven hundred eight

Interesting facts

  • 735590708 has 8 divisors, whose sum is 1655079102
  • The reverse of 735590708 is 807095537
  • Previous prime number is 2

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8