Testing Trametinib as a Potential Targeted Treatment in Cancers With BRAF Genetic Changes (MATCH-Subprotocol R)

Inclusion Criteria: * Patients must have met applicable eligibility criteria in the Master MATCH Protocol prior to registration to treatment subprotocol * Patients must have a BRAF non-V600 mutation or BRAF fusion, or another aberration, as identified via the MATCH Master Protocol * Patients must have an electrocardiogram (ECG) within 8 weeks prior to treatment assignment and must have NONE of the following cardiac criteria: * Clinically important abnormalities in rhythm, conduction or morphology of resting ECG (e.g. complete left bundle branch block, third degree heart block) * Treatment-refractory hypertension defined as a blood pressure of systolic \> 140 mmHg and/or diastolic \> 90 mmHg which cannot be controlled by anti-hypertensive therapy * Patients must have an echocardiogram (ECHO) or a nuclear study (multigated acquisition scan \[MUGA\] or First Pass) within 4 weeks prior to registration to treatment and must not have a left ventricular ejection fraction (LVEF) \< the institutional lower limit of normal (LLN). If the LLN is not defined at a site, the LVEF must be \> 50% for the patient to be eligible * Patients who previously received monoclonal antibody therapy (e.g. ipilimumab, nivolumab, pembrolizumab and others) must have stopped the prior therapy for 8 or more weeks before starting on trametinib Exclusion Criteria: * Patients with a history of interstitial lung disease or pneumonitis are excluded * Patients must not have known hypersensitivity to trametinib or compounds of similar chemical or biologic composition or to dimethyl sulfoxide (DMSO) * Patients must not have a history or current evidence/risk of retinal vein occlusion (RVO). An eye exam is required at baseline * Patients who previously received MEK inhibitors (including, but not limited to, trametinib, binimetinib, cobimetinib, selumetinib, RO4987655 (CH4987655), GDC-0623 and pimasertib) will be excluded