(9m+8)(5m-2)=0

Solution for (9m+8)(5m-2)=0 equation:

(9m+8)(5m-2)=0

We multiply parentheses ..

(+45m^2-18m+40m-16)=0

We get rid of parentheses

45m^2-18m+40m-16=0

We add all the numbers together, and all the variables

45m^2+22m-16=0

a = 45; b = 22; c = -16;
Δ = b2-4ac
Δ = 222-4·45·(-16)
Δ = 3364
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3364}=58$
$m_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-58}{2*45}=\frac{-80}{90}
=-8/9
$
$m_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+58}{2*45}=\frac{36}{90}
=2/5
$