28x^2=14x

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Solution for 28x^2=14x equation:



28x^2=14x
We move all terms to the left:
28x^2-(14x)=0
a = 28; b = -14; c = 0;
Δ = b2-4ac
Δ = -142-4·28·0
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-14)-14}{2*28}=\frac{0}{56} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-14)+14}{2*28}=\frac{28}{56} =1/2 $

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