90+(2x-2+)(x*5)=180

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Solution for 90+(2x-2+)(x*5)=180 equation:



90+(2x-2+)(x*5)=180
We move all terms to the left:
90+(2x-2+)(x*5)-(180)=0
We add all the numbers together, and all the variables
(+2x)(+x*5)+90-180=0
We add all the numbers together, and all the variables
(+2x)(+x*5)-90=0
We multiply parentheses ..
(+10x^2)-90=0
We get rid of parentheses
10x^2-90=0
a = 10; b = 0; c = -90;
Δ = b2-4ac
Δ = 02-4·10·(-90)
Δ = 3600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3600}=60$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*10}=\frac{-60}{20} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*10}=\frac{60}{20} =3 $

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