Question

How do I solve by factoring? -5x(2x+9)(x-11) =0

`a^2 + b^2 = c^2`

Answer 1

The equation is already factorised, you should only compare each factor to cero.

Explanation:

`color(red)(-5x)color(blue)((2x+9))color(orange)((x-11))=0`

`color(red)(-5x= 0)`
`color(red)( x_1= 0/-5= 0)`

`color(blue)(2x+9 =0 )`
`color(blue)( x_2= -9/2)`

`color(orange)(x-11=0 )`
`color(orange)( x_3 = 11)`

Answer 2

`x=0,x=-9/2,x=11`

Explanation:

`"the equation is already in factored form"`

`"equate each of the factors to zero and solve for "x`

`-5x=0rArrx=0`

`2x+9=0rArrx=-9/2`

`x-11=0rArrx=11`