38w^2-7w=0

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Solution for 38w^2-7w=0 equation: 



38w^2-7w=0

a = 38; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·38·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$


$w_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*38}=\frac{0}{76}
=0
$


$w_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*38}=\frac{14}{76}
=7/38
$

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