Respuesta :

[tex] x^{2} +8x+7=0[/tex]
Product=7
sum=8
[tex] x^{2} +x+7x+7=0[/tex]
x(x+1)+7(x+1)=0
(x+7)(x+1)=0
x=-7, -1

The solution to the equation is x = -1 and x = -7

How to determine the solution?

The equation is given as:

x^2 + 8x + 7 = 0

Expand the equation

x^2 + x + 7x + 7 = 0

Factorize the equation

(x + 1)(x + 7) = 0

Solve for x

x = -1 and x = -7

Hence, the solution to the equation is x = -1 and x = -7

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