Respuesta :

So its x to the second power + 10x + 12 = 36 
What I did was subtracted 12 from 36 to get 24 
then when on from there to find the x valuse
x=2
x=-12
I'm sorry if its wrong I did it all in my head

Answer:

option 1st is correct

x = -12 or x = 2

Step-by-step explanation:

Solve:

[tex]x^2+10x+12=36[/tex]

Subtract 36 from both sides we have;

[tex]x^2+10x-24=0[/tex]

Split the middle term we have;

[tex]x^2+12x-2x-24=0[/tex]

then;

[tex]x(x+12)-2(x+12)=0[/tex]

Take x+12 common we have;

[tex](x+12)(x-2)=0[/tex]

By zero product property, if ab =0 then a = 0 or b = 0

then;

x+12 = 0 or x -2 =0

⇒x = -12 or x = 2

therefore, the solutions are x = -12 or x = 2

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