Question

\(x(x-5)+2x-10=0\)

Answer 1

\(x\left(x-5\right)+2\left(x-5\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x+2=0\\x-5=0\end{matrix}\right.\)\(\Leftrightarrow\left[{}\begin{matrix}x=-2\\x=5\end{matrix}\right.\)

Answer 2

\(x ( x − 5 ) + 2 x − 10 = 0\)

\(<=>x(x-5)+2(x-5)=0\)

\(<=>(x+2)(x+5)=0\)

\(< =>\left\{{}\begin{matrix}x+2=0\\x+5=0\end{matrix}\right.\)

\(<=>\) \(\left\{{}\begin{matrix}x=-2\\x=-5\end{matrix}\right.\)

Answer 3

x ( x - 5 ) + 2x - 10 = 0

x² - 5x + 2x - 10 = 0

x² - 3x - 10 = 0

a + b =  -10

a . b = -5

1 - 10 = -9

2 - 5 = -3

a = -5

b = 2

( x - 5 ) ( x + 2 )

=> x = 5

=> x = -2.

Answer 4

`x(x - 5) + 2x - 10 = 0`

`<=> x(x - 5) + 2(x - 5) = 0`

`<=>` \(\left\{{}\begin{matrix}x+2=0\\x-5=0\end{matrix}\right.\)

`<=>` \(\left\{{}\begin{matrix}x=0-2\\x=0-5\end{matrix}\right.\)

`<=>`\(\left\{{}\begin{matrix}x=-2\\x=-5\end{matrix}\right.\)