Solve the equation.
-$( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$
A) 7,10
B) $- 10 , - 7$
C) 0,3
D) $- 3,0$

Name: Solve the equation. -$( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$ A) 7,10 B) $- 10 , - 7$ C) 0,3 D) $- 3,0$
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Question

Quizplus · Accepted Answer

To solve the equation, let $y = x + 5$. The equation becomes $y^2 + 7y + 10 = 0$. Factoring, we get $(y + 2)(y + 5) = 0$, so $y = -2$ or $y = -5$. Substituting back for $x$, we get $x + 5 = -2$ or $x + 5 = -5$, leading to $x = -7$ or $x = -10$.

Solve the Equation (x+5)2+7(x+5)+10=0( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0(x+5)2+7(x+5)+10=0

Solve the Equation $( x + 5 ) ^ { 2 } + 7 ( x + 5 ) + 10 = 0$