Solve each equation:  2x^2+9x+9=0  the x^2 is x raised to the second power! 

Expert Answers

An illustration of the letter 'A' in a speech bubbles

We need to solve the equation for `x`

Remove the fraction by multiplying the first term of the factor by the denominator of the secondterm. `(x+3)(2x+3)=0 ` Set each of the factors of the left-hand side of the equation equal to `0` . `x+3=0` `2x+3=0 ` Since `3`...

See
This Answer Now

Start your 48-hour free trial to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Get 48 Hours Free Access

We need to solve the equation for `x`

Remove the fraction by multiplying the first term of the factor by the denominator of the second term.

`(x+3)(2x+3)=0 `


Set each of the factors of the left-hand side of the equation equal to `0` .

`x+3=0`
`2x+3=0 `


Since `3` does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting `3` from both sides.

`x=-3 `
`2x+3=0 `


Set each of the factors of the left-hand side of the equation equal to `0` .

`x=-3 `
`2x+3=0`


Since `3` does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting `3` from both sides.

`x=-3 `
`2x=-3 `


Divide each term in the equation by `2` .

`x=-3 `

`x = -3/2`



The complete solution is the set of the individual solutions.

`x = -3, -3/2`

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

Solve `2x^2 + 9x + 9 = 0` .

Factor:  `(2x + 3)(x+3) = 0` .

Using the zero product property, set each factor equal to zero and solve.

`2x+3 = 0`   and `x + 3 = 0`

`2x = -3`      and `x = -3`

`x = -3/2` and` x=-3`

The solutions are `x = - 3` and `x = -3/2.`

``

``

Approved by eNotes Editorial Team