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(m+8)*(m-7)=0 equation

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Numerical solution:

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The solution

You have entered [src] 
(m + 8)*(m - 7) = 0
(m−7)(m+8)=0\left(m - 7\right) \left(m + 8\right) = 0
Simplify
Detail solution
Expand the expression in the equation
(m−7)(m+8)=0\left(m - 7\right) \left(m + 8\right) = 0
We get the quadratic equation
m2+m−56=0m^{2} + m - 56 = 0
This equation is of the form
a*m^2 + b*m + c = 0

A quadratic equation can be solved
using the discriminant.
The roots of the quadratic equation:
m1=D−b2am_{1} = \frac{\sqrt{D} - b}{2 a}
m2=−D−b2am_{2} = \frac{- \sqrt{D} - b}{2 a}
where D = b^2 - 4*a*c - it is the discriminant.
Because
a=1a = 1
b=1b = 1
c=−56c = -56
, then
D = b^2 - 4 * a * c = 

(1)^2 - 4 * (1) * (-56) = 225

Because D > 0, then the equation has two roots.
m1 = (-b + sqrt(D)) / (2*a)

m2 = (-b - sqrt(D)) / (2*a)

or
m1=7m_{1} = 7
m2=−8m_{2} = -8
Rapid solution [src] 
m1 = -8
m1=−8m_{1} = -8 
m2 = 7
m2=7m_{2} = 7 
m2 = 7
Sum and product of roots [src] 
sum
-8 + 7
−8+7-8 + 7 
=
-1
−1-1 
product
-8*7
−56- 56 
=
-56
−56-56 
-56
Numerical answer [src] 
m1 = 7.0
m2 = -8.0
m2 = -8.0
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