solving quadratic equations

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