x^{2} + 5x + 8 = 4

x^2 + 5x + 8 = 4

subtract 4 from both sides:

x^2 + 5x + 4 = 0

Factoring the left side:

(x+4)(x+1) = 0

Setting each term (inside parentheses) to zero provides you the answer:

x = {-4, -1}

x^{2} + 5x + 8 = 4

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x^2 + 5x + 8 = 4

subtract 4 from both sides:

x^2 + 5x + 4 = 0

Factoring the left side:

(x+4)(x+1) = 0

Setting each term (inside parentheses) to zero provides you the answer:

x = {-4, -1}