x(-7+14x)=0

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Solution for x(-7+14x)=0 equation:



x(-7+14x)=0
We add all the numbers together, and all the variables
x(14x-7)=0
We multiply parentheses
14x^2-7x=0
a = 14; b = -7; c = 0;
Δ = b2-4ac
Δ = -72-4·14·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7)-7}{2*14}=\frac{0}{28} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+7}{2*14}=\frac{14}{28} =1/2 $

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