7x(8x+4)=0

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Solution for 7x(8x+4)=0 equation:



7x(8x+4)=0
We multiply parentheses
56x^2+28x=0
a = 56; b = 28; c = 0;
Δ = b2-4ac
Δ = 282-4·56·0
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(28)-28}{2*56}=\frac{-56}{112} =-1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(28)+28}{2*56}=\frac{0}{112} =0 $

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