Verified answer

(x-4)(x+3) = 0

Use FOIL to multiply, then combine like terms together.

I hope this helps!

To get the equation, you need to have 2 factors whose product equals 0.

For example, x^2 + 4x - 21= 0

When factored, it becomes: (x + 7)(x - 3) = 0

If x = -7, then ((-7) + 7)((-7) - 3) = 0 by Substitution

(0)(-10) = 0

0 = 0

If x = 3, then ((3) + 7)((3) - 3) = 0 by Substituion

(10)(0) = 0

0 = 0

To make both sides of the equation equal, you would need to make at least 1 of the factors equal 0, so that when they are multiplied together, the product is 0.

So, an equation with the solutions 4 and -3 would be:

(x + 3)(x - 4) = 0 (quadratic equation factored)

or, x^2 - x - 12 = 0 (factors multiplied together, this is the equation you need)

(x-4)(x+3)=0

x^2-x+12=0