(2x+1)(3x+2)=50

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Solution for (2x+1)(3x+2)=50 equation:



(2x+1)(3x+2)=50
We move all terms to the left:
(2x+1)(3x+2)-(50)=0
We multiply parentheses ..
(+6x^2+4x+3x+2)-50=0
We get rid of parentheses
6x^2+4x+3x+2-50=0
We add all the numbers together, and all the variables
6x^2+7x-48=0
a = 6; b = 7; c = -48;
Δ = b2-4ac
Δ = 72-4·6·(-48)
Δ = 1201
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{-(7)-\sqrt{1201}}{2*6}=\frac{-7-\sqrt{1201}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{1201}}{2*6}=\frac{-7+\sqrt{1201}}{12} $

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