solve the equation $x^2 + 5x + 6 = 0$ by factoring.

$x =$

if there is more than 1 solution, separate the values with a comma.

Question

solve the equation $x^2 + 5x + 6 = 0$ by factoring.

$x =$

if there is more than 1 solution, separate the values with a comma.

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Factoring Quadratics", "Zero Product Property" ], "new_concepts": [], "current_concepts": [ "Factoring Quadratics", "Zero Product Property" ] } ## Factor the quadratic trinomial $$ x^2 + 5x + 6 = (x + 2)(x + 3) = 0 $$ ## Apply the zero product property $$ \begin{aligned} x + 2 = 0 &\implies x = -2 \ x + 3 = 0 &\implies x = -3 \end{aligned} $$ ## Write the final solutions $$ x = -2, -3 $$ Solve the equation $x^2 + 5x + 6 = 0$ by factoring. $x =$ -2, -3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Quadratics" ] }

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QUESTION IMAGE

Question

Explanation:

Factor the quadratic trinomial

Apply the zero product property

Write the final solutions

Answer: