Question 924080
if the roots are x = -4 and 3, then the factors are (x+4) and (x-3)
your equation is (x+4)(x-3) = 0
multiply these factors out to get:
x^2 -3x + 4x - 12 = 0 which simplifies to:
x^2 + x - 12 = 0
multiply both sides of this equation by 5 to get:
5x^2 + 5x - 60 = 0
that's your equation.
the graph of that equation is shown below:
{{{graph(600,600,-10,10,-70,70,5x^2 + 5x - 60)}}}
the equation that this was derived from has the same roots as shown below:
{{{graph(600,600,-10,10,-70,70,x^2 + 1x - 12)}}}
that's the graph of x^2 + x - 12 = 0