Respuesta :

apologiabiology
first get them all on one side
add 7x+60 to both sides
0=x^2+17x+60
now factor
what 2 numbers mutltiply to get 60 and add to get 17?
5 and 12
0=(x+5)(x+12)
set each to zero

0=x+5
-5=x

0=x+12
-12=x



the factored form is (x+5)(x+12)=0
the solutions are x=-12 and -5

"The factor method involves extracting factors from an experiment and then utilizing them in the analytical process of factor analysis .".

The equivalent equation is [tex]\rm (x+12) \ (x+5) = 0[/tex] and the solution of the equation are -5 and -12.

Given

Complete the equivalent equation for –7x – 60 = x2 + 10x. (x + )(x + ) = 0

What is the factor method?

"The factor method involves extracting factors from an experiment and then utilizing them in the analytical process of factor analysis .".

The solution of the given equation is determined by the factor method;

[tex]\rm -7x - 60 = x^2 + 10x\\\\x^2+10x+7x+60=0\\\\x^2+17x+60=0\\\\x^2+12x+5x+60=0\\\\x(x+12)+5(x+12)=0\\\\(x+12) \ (x+5) = 0\\\\x+12 = 0 \ \ x=-12\\\\x+5=0 \ \ x=-5[/tex]

Hence, the equivalent equation is [tex]\rm (x+12) \ (x+5) = 0[/tex] and the solution of the equation are -5 and -12.

To know more about the Factor Method click the link given below.

https://brainly.com/question/74807

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