x(3x+1)=240

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Solution for x(3x+1)=240 equation:



x(3x+1)=240
We move all terms to the left:
x(3x+1)-(240)=0
We multiply parentheses
3x^2+x-240=0
a = 3; b = 1; c = -240;
Δ = b2-4ac
Δ = 12-4·3·(-240)
Δ = 2881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{2881}}{2*3}=\frac{-1-\sqrt{2881}}{6} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{2881}}{2*3}=\frac{-1+\sqrt{2881}}{6} $

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