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Solve the following equation 3 different ways.


Solve by Factoring.

`x^2+10x = -24`

Make the equation equal to zero.
`=0`



Factor the left side by finding 2 numbers that add to be and also multiply to be .
Those 2 numbers are: and



Write the left side of the equation in factored form.
`=0`



Use the Zero Product Property to set each factor equal to zero to solve.
`=0` and `=0`



`x=` and `x=`







Solve by Quadratic Formula.

`x^2+10x = -24`



`+-sqrt` `(` 2 `-4*` `*` `)`
`x=`
`2(` `)`




`+-sqrt`
`x=`




`+` `-`
`x=`
and `x=`


`x=` and `x=`







Solve by Completing the Square.

`x^2+10x = -24`

`x^2+10x``+` `=`

`(`   `)`2 `=`

`=` `+-`

`x=` and `x=`