Resolving a car shake when braking involves several steps. Start with a thorough inspection of the brake system, checking for warped rotors and worn pads. Consider resurfacing or replacing brake rotors and installing new pads. Examine suspension components for damage or wear, replacing faulty parts like control arms or tie rods if necessary. Seek a professional mechanic for accurate diagnosis and repairs. Depending on the issue, solutions may involve brake or suspension repairs.