2x-2x*2x=-180

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Solution for 2x-2x*2x=-180 equation:



2x-2x*2x=-180
We move all terms to the left:
2x-2x*2x-(-180)=0
We add all the numbers together, and all the variables
2x-2x*2x+180=0
Wy multiply elements
-4x^2+2x+180=0
a = -4; b = 2; c = +180;
Δ = b2-4ac
Δ = 22-4·(-4)·180
Δ = 2884
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:
$\sqrt{\Delta}=\sqrt{2884}=\sqrt{4*721}=\sqrt{4}*\sqrt{721}=2\sqrt{721}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(2)-2\sqrt{721}}{2*-4}=\frac{-2-2\sqrt{721}}{-8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+2\sqrt{721}}{2*-4}=\frac{-2+2\sqrt{721}}{-8} $

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