7(4w+5)w=9

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Solution for 7(4w+5)w=9 equation:



7(4w+5)w=9
We move all terms to the left:
7(4w+5)w-(9)=0
We multiply parentheses
28w^2+35w-9=0
a = 28; b = 35; c = -9;
Δ = b2-4ac
Δ = 352-4·28·(-9)
Δ = 2233
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-\sqrt{2233}}{2*28}=\frac{-35-\sqrt{2233}}{56} $
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+\sqrt{2233}}{2*28}=\frac{-35+\sqrt{2233}}{56} $

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