Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
          f*(x)-(-x^2-3*x)=0 Â
STEP
1
:
STEP
2
:
Pulling out like terms
2.1 Â Â Pull out like factors :
 fx + x2 + 3x  =  x • (f + x + 3) Â
Equation at the end of step
2
:
 x • (f + x + 3)  = 0 Â
STEP
3
:
Theory - Roots of a product
3.1 Â Â A product of several terms equals zero. Â
When a product of two or more terms equals zero, then at least one of the terms must be zero. Â
We shall now solve each term = 0 separately Â
In other words, we are going to solve as many equations as there are terms in the product Â
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2    Solve  :   x = 0 Â
 Solution is  x = 0
Equation of a Straight Line
3.3   Solve  f+x+3  = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties
Graph of a Straight Line :
Â
Â
Calculate the Y-Intercept :
Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000
 f-intercept = -3/1  = -3.00000 Â
Calculate the X-Intercept :
When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000
 x-intercept = -3/1  = -3.00000 Â
Calculate the Slope :
Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
  Slope   = -2.000/2.000 = -1.000 Â
Geometric figure: Straight Line
 Slope = -2.000/2.000 = -1.000
 x-intercept = -3/1 = -3.00000
 f-intercept = -3/1 = -3.00000
x = 0