How would I solve (x-3)(5x+4) = 0?

Question

anonymous · Answer

Easy, one second.

turingtest · Answer

zero factor property

parthkohli · Answer

Either (x - 3) = 0
or 5x + 4 = 0

So,

x - 3 = 0
x = 3

OR

5x + 4 = 0
5x = -4
x = -4/5

Will you be able to solve the rest?

parthkohli · Answer

(3,-4/5) is the solution for x.

anonymous · Answer

I honestly have no clue what to do. Am I just trying to plug in x?

parthkohli · Answer

You know that 0 multiplied by any number is 0? That's what we are doing here.

parthkohli · Answer

Essentially, we're saying that one of them(or both) has/have the value of 0.

turingtest · Answer

the zero factor property states that if we have something like$$ab=0$$then either $a=0$ or $b=0$ or both
so we split this up and solve separately

...what parth said

anonymous · Answer

But there's only one variable which is x.. Should I just keep testing numbers until I find the one that would solve the equation to be 0??

parthkohli · Answer

Both the solutions satisfy the equation.

turingtest · Answer

@LoyalPawn could you solve something like
$$3x+5=14$$?