(3x-4)(2x+17)=180

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Solution for (3x-4)(2x+17)=180 equation:



(3x-4)(2x+17)=180
We move all terms to the left:
(3x-4)(2x+17)-(180)=0
We multiply parentheses ..
(+6x^2+51x-8x-68)-180=0
We get rid of parentheses
6x^2+51x-8x-68-180=0
We add all the numbers together, and all the variables
6x^2+43x-248=0
a = 6; b = 43; c = -248;
Δ = b2-4ac
Δ = 432-4·6·(-248)
Δ = 7801
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{-(43)-\sqrt{7801}}{2*6}=\frac{-43-\sqrt{7801}}{12} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(43)+\sqrt{7801}}{2*6}=\frac{-43+\sqrt{7801}}{12} $

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