solve the following quadratic equation by factoring. separate multiple answers with a comma.

\3x^2 - 4x = 4\

Question

solve the following quadratic equation by factoring. separate multiple answers with a comma.

\3x^2 - 4x = 4\

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": [ "Solving Quadratic Equations", "Factoring Trinomials", "Zero Product Property" ], "new_concepts": [], "current_concepts": [ "Solving Quadratic Equations", "Factoring Trinomials", "Zero Product Property" ] } ## Write in standard form Using the *Solving Quadratic Equations* knowledge point $$ \begin{aligned} 3x^2 - 4x &= 4 \ 3x^2 - 4x - 4 &= 0 \end{aligned} $$ ## Factor the trinomial Using the *Factoring Trinomials* knowledge point $$ \begin{aligned} &ac = 3(-4) = -12,\quad b = -4 \ &-6 \cdot 2 = -12,\quad -6 + 2 = -4 \ &3x^2 - 6x + 2x - 4 = 0 \ &3x(x - 2) + 2(x - 2) = 0 \ &(3x + 2)(x - 2) = 0 \end{aligned} $$ ## Apply the zero product property Using the *Zero Product Property* knowledge point $$ \begin{aligned} 3x + 2 = 0 &\implies x = -\frac{2}{3} \ x - 2 = 0 &\implies x = 2 \end{aligned} $$ Solve the following quadratic equation by factoring. Separate multiple answers with a comma. $3x^2 - 4x = 4$ Answer: $-\frac{2}{3}, 2$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Solving Quadratic Equations" ] }

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QUESTION IMAGE

Question

Explanation:

Write in standard form

Factor the trinomial

Apply the zero product property

Answer: