(m-8)(m=17)

Solution for (m-8)(m=17) equation:

(m-8)(m=17)

We move all terms to the left:

(m-8)(m-(17))=0

We multiply parentheses ..

(+m^2-17m-8m+136)=0

We get rid of parentheses

m^2-17m-8m+136=0

We add all the numbers together, and all the variables

m^2-25m+136=0

a = 1; b = -25; c = +136;
Δ = b2-4ac
Δ = -252-4·1·136
Δ = 81
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{81}=9$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-9}{2*1}=\frac{16}{2}
=8
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+9}{2*1}=\frac{34}{2}
=17
$