If two numbers multiply to 0, then one or both of the numbers must be zero.
This rule is known as the zero product property If A*B = 0 then either A = 0 or B = 0 (or both are zero)
Using that idea we go from (6x-1)*(5x+3) = 0 to 6x-1=0 or 5x+3 = 0
Solve each new equation for x 6x-1 = 0 6x = 1 x = 1/6 <<--- this is the one of the solutions and 5x+3 = 0 5x = -3 x = -3/5 <<--- and this is another solution