QuestionJuly 15, 2025

Which of the following are solutions to the equation below? Check all that apply. 3x^2+27x+54=0 A. 9 B. 6 C. -3 D. 3 E. -6

Which of the following are solutions to the equation below? Check all that apply. 3x^2+27x+54=0 A. 9 B. 6 C. -3 D. 3 E. -6
Which of the following are solutions to the equation below?
Check all that apply.
3x^2+27x+54=0
A. 9
B. 6
C. -3
D. 3
E. -6

Solution
3.9(275 votes)

Answer

C. -3, E. -6 Explanation 1. Simplify the equation Divide the entire equation by 3: x^2 + 9x + 18 = 0. 2. Factor the quadratic equation Factor as (x + 3)(x + 6) = 0. 3. Solve for x Set each factor to zero: x + 3 = 0 or x + 6 = 0. 4. Find solutions Solutions are x = -3 and x = -6.

Explanation

1. Simplify the equation<br /> Divide the entire equation by 3: $x^2 + 9x + 18 = 0$.<br /><br />2. Factor the quadratic equation<br /> Factor as $(x + 3)(x + 6) = 0$.<br /><br />3. Solve for x<br /> Set each factor to zero: $x + 3 = 0$ or $x + 6 = 0$.<br /><br />4. Find solutions<br /> Solutions are $x = -3$ and $x = -6$.
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