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 ten million five hundred ninety-two thousand forty-four

Interesting facts

  • 10592044 has 16 divisors, whose sum is 25086600
  • The reverse of 10592044 is 44029501
  • Previous prime number is 19

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 25
  • Digital Root 7

Name

Name seven hundred eighty-three million three hundred fifty-eight thousand four hundred

Interesting facts

  • 783358400 has 512 divisors, whose sum is 9155586816
  • The reverse of 783358400 is 004853387
  • Previous prime number is 47

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 38
  • Digital Root 2

Name

Name one billion eight hundred thirty-three million four hundred eighty-six thousand two hundred sixty-four

Interesting facts

  • 1833486264 has 128 divisors, whose sum is 11049478272
  • The reverse of 1833486264 is 4626843381
  • Previous prime number is 227

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 45
  • Digital Root 9