14x(8+3x)*5=0

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Solution for 14x(8+3x)*5=0 equation:



14x(8+3x)*5=0
We add all the numbers together, and all the variables
14x(3x+8)*5=0
We multiply parentheses
210x^2+560x=0
a = 210; b = 560; c = 0;
Δ = b2-4ac
Δ = 5602-4·210·0
Δ = 313600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{313600}=560$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(560)-560}{2*210}=\frac{-1120}{420} =-2+2/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(560)+560}{2*210}=\frac{0}{420} =0 $

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