Question

What are the solutions to x2 + 8x + 7 = 0? A. x = –8 and x = –7 B. x = –7 and x = –1 C. x = 1 and x = 7 D. x = 7 and x = 8

Answer 1

Answer:

x= -7      x = -1

Step-by-step explanation:

x^2 + 8x + 7 = 0

Factor

What 2 numbers multiply to 7 and add to 8

7*1 = 7

7+1 = 8

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

Using the zero product property

x+7 =0   x+1 = 0

x= -7      x = -1

Answer 2

Answer:

$x = - 1 \\ x = - 7$

Answer B is correct

Step-by-step explanation:

${x}^{2} + 8x + 7 = 0\\ {x}^{2} + 7x + x + 7 = 0\\ x(x + 7) + 1(x + 7) = 0 \\ (x + 1)(x + 7) = 0$

$x + 1 = 0 \\ x = - 1$

$x + 7 = 0 \\ x = - 7$

hope this helps

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