5x(x-3)=90

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Solution for 5x(x-3)=90 equation:



5x(x-3)=90
We move all terms to the left:
5x(x-3)-(90)=0
We multiply parentheses
5x^2-15x-90=0
a = 5; b = -15; c = -90;
Δ = b2-4ac
Δ = -152-4·5·(-90)
Δ = 2025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2025}=45$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-45}{2*5}=\frac{-30}{10} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+45}{2*5}=\frac{60}{10} =6 $

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