8x(6x-60)=0

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Solution for 8x(6x-60)=0 equation:



8x(6x-60)=0
We multiply parentheses
48x^2-480x=0
a = 48; b = -480; c = 0;
Δ = b2-4ac
Δ = -4802-4·48·0
Δ = 230400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{230400}=480$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-480)-480}{2*48}=\frac{0}{96} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-480)+480}{2*48}=\frac{960}{96} =10 $

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