# Como você fatora 2x ^ {2} + 3x = 5 ?

#### Responda:

(x-1)(2x+5)=0

#### Explicação:

"rearrange equation into standard form"

rArr2x^2+3x-5=0larrcolor(blue)"in standard form"

"factor the quadratic using the a-c method"

"the factors of - 10 which sum to + 3 are + 5 and - 2"

2x^2-2x+5x-5=0larrcolor(blue)"split the middle term"

color(red)(2x)(x-1)color(red)(+5)(x-1)=0larrcolor(blue)"factor by grouping"

"take out a common factor "(x-1)

(x-1)(color(red)(2x+5))=0larrcolor(blue)"factored form"