95x+(5x-12)(x+7)=180

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Solution for 95x+(5x-12)(x+7)=180 equation:



95x+(5x-12)(x+7)=180
We move all terms to the left:
95x+(5x-12)(x+7)-(180)=0
We multiply parentheses ..
(+5x^2+35x-12x-84)+95x-180=0
We get rid of parentheses
5x^2+35x-12x+95x-84-180=0
We add all the numbers together, and all the variables
5x^2+118x-264=0
a = 5; b = 118; c = -264;
Δ = b2-4ac
Δ = 1182-4·5·(-264)
Δ = 19204
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{19204}=\sqrt{4*4801}=\sqrt{4}*\sqrt{4801}=2\sqrt{4801}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(118)-2\sqrt{4801}}{2*5}=\frac{-118-2\sqrt{4801}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(118)+2\sqrt{4801}}{2*5}=\frac{-118+2\sqrt{4801}}{10} $

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