{"status": "success", "data": {"description_md": "Compute the sum of all the roots of\n\n$$(2x+3)(x-4)+(2x+3)(x-6)=0$$\n\n$\\mathrm{(A) \\ } \\frac{7}{2}\\qquad \\mathrm{(B) \\ } 4\\qquad \\mathrm{(C) \\ } 5\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 13$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>Compute the sum of all the roots of</p>&#10;<p><span class=\"katex--display\">(2x+3)(x-4)+(2x+3)(x-6)=0</span></p>&#10;<p><span class=\"katex--inline\">\\mathrm{(A) \\ } \\frac{7}{2}\\qquad \\mathrm{(B) \\ } 4\\qquad \\mathrm{(C) \\ } 5\\qquad \\mathrm{(D) \\ } 7\\qquad \\mathrm{(E) \\ } 13</span></p>&#10;<hr/>&#10;<p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "2002 AMC 12A Problem 1", "can_next": true, "can_prev": false, "nxt": "/problem/02_amc12A_p02", "prev": ""}}