(5x-10)(15x-60)=0

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Solution for (5x-10)(15x-60)=0 equation:



(5x-10)(15x-60)=0
We multiply parentheses ..
(+75x^2-300x-150x+600)=0
We get rid of parentheses
75x^2-300x-150x+600=0
We add all the numbers together, and all the variables
75x^2-450x+600=0
a = 75; b = -450; c = +600;
Δ = b2-4ac
Δ = -4502-4·75·600
Δ = 22500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{22500}=150$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-450)-150}{2*75}=\frac{300}{150} =2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-450)+150}{2*75}=\frac{600}{150} =4 $

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