(3-w)(3w-5)=0

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Solution for (3-w)(3w-5)=0 equation:



(3-w)(3w-5)=0
We add all the numbers together, and all the variables
(-1w+3)(3w-5)=0
We multiply parentheses ..
(-3w^2+5w+9w-15)=0
We get rid of parentheses
-3w^2+5w+9w-15=0
We add all the numbers together, and all the variables
-3w^2+14w-15=0
a = -3; b = 14; c = -15;
Δ = b2-4ac
Δ = 142-4·(-3)·(-15)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-4}{2*-3}=\frac{-18}{-6} =+3 $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+4}{2*-3}=\frac{-10}{-6} =1+2/3 $

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