4. solve the equation by factoring. (enter your answers as a comma-separated list.)
\8x^2 + 19x - 15 = 0\
$x =$ box

Question

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" ], "new_concepts": [], "current_concepts": [ "Factoring Quadratics", "Quadratic Equations" ] } ## Factor the quadratic expression $$ \begin{aligned} &8x^2 + 19x - 15 = 0 \ &8 \cdot (-15) = -120 \ &24 \cdot (-5) = -120 \quad \text{and} \quad 24 + (-5) = 19 \ &8x^2 + 24x - 5x - 15 = 0 \ &8x(x + 3) - 5(x + 3) = 0 \ &(8x - 5)(x + 3) = 0 \end{aligned} $$ ## Solve for x $$ \begin{aligned} &8x - 5 = 0 \implies x = \frac{5}{8} \ &x + 3 = 0 \implies x = -3 \end{aligned} $$ Solve the equation by factoring. (Enter your answers as a comma-separated list.) $8x^2 + 19x - 15 = 0$ $x =$ $-3, \frac{5}{8}$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Factoring Quadratics" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Factor the quadratic expression

Solve for x

Answer: