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

Solve by Factoring 2x^2+9x-5=0
Factor by grouping.
For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is .
Factor out of .
Rewrite as plus
Apply the distributive property.
Factor out the greatest common factor from each group.
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.
Set the first factor equal to .
Add to both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Set the next factor equal to and solve.
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