3x(5x-35)=0

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Solution for 3x(5x-35)=0 equation:



3x(5x-35)=0
We multiply parentheses
15x^2-105x=0
a = 15; b = -105; c = 0;
Δ = b2-4ac
Δ = -1052-4·15·0
Δ = 11025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{11025}=105$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-105)-105}{2*15}=\frac{0}{30} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-105)+105}{2*15}=\frac{210}{30} =7 $

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