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1,5^2+31,5x+147=0 equation

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Numerical solution:

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The solution

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   2   63*x          
3/2  + ---- + 147 = 0
        2            
$$\left(\frac{63 x}{2} + \left(\frac{3}{2}\right)^{2}\right) + 147 = 0$$
Detail solution
Given the linear equation:
(3/2)^2+(63/2)*x+147 = 0

Expand brackets in the left part
3/2^2+63/2x+147 = 0

Move free summands (without x)
from left part to right part, we given:
$$\frac{63 x}{2} = - \frac{597}{4}$$
Divide both parts of the equation by 63/2
x = -597/4 / (63/2)

We get the answer: x = -199/42
Rapid solution [src]
     -199 
x1 = -----
       42 
$$x_{1} = - \frac{199}{42}$$
x1 = -199/42
Sum and product of roots [src]
sum
-199 
-----
  42 
$$- \frac{199}{42}$$
=
-199 
-----
  42 
$$- \frac{199}{42}$$
product
-199 
-----
  42 
$$- \frac{199}{42}$$
=
-199 
-----
  42 
$$- \frac{199}{42}$$
-199/42
Numerical answer [src]
x1 = -4.73809523809524
x1 = -4.73809523809524