# 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 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