What is the solution set to the equation (x-4)(x+3)=0 ( explain aswell)

Graph red beads cost $1 an ounce and gold beads cost $3 an ounce. juanita wants to purchase a 12-ounce mixture of red and gold beads that she can sell for $2 an ounce. the solution of the system shows the number of beads needed for juanita to break even. x + y = 12, x + 3y = 24 how many ounces of red beads will juanita buy to break even? how many ounces of gold beads will she buy?

What are the solutions of the system? solve by graphing. y = -x^2 - 3x + 2 y = -2x + 2

Ihonestly have no clue if it's each or none.