question

solve: (99a^2 + 55a = 0). multiple answers, if any, should be separated by

provide your answer below:

(a = )

Question

question

solve: (99a^2 + 55a = 0). multiple answers, if any, should be separated by

provide your answer below:

(a = )

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor Factoring", "Zero Product Property", "Solving Linear Equations" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor Factoring", "Zero Product Property", "Solving Linear Equations" ] } ## Factor out the greatest common factor Using the *Greatest Common Factor Factoring* knowledge point $$ \begin{aligned} &99a^2 + 55a = 0 \ &11a(9a + 5) = 0 \end{aligned} $$ ## Apply the zero product property Using the *Zero Product Property* knowledge point $$ \begin{aligned} &11a = 0 \quad \text{or} \quad 9a + 5 = 0 \end{aligned} $$ ## Solve each linear equation Using the *Solving Linear Equations* knowledge point $$ \begin{aligned} &a = 0 \ &9a = -5 \implies a = -\frac{5}{9} \end{aligned} $$ Solve: $99a^2 + 55a = 0$. Multiple answers, if any, should be separated by commas. Provide your answer below: $a =$ $0, -\frac{5}{9}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Greatest Common Factor Factoring" ] }

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QUESTION IMAGE

Question

Explanation:

Factor out the greatest common factor

Apply the zero product property

Solve each linear equation

Answer: