110=2x*4x

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Solution for 110=2x*4x equation:



110=2x*4x
We move all terms to the left:
110-(2x*4x)=0
We add all the numbers together, and all the variables
-(+2x*4x)+110=0
We get rid of parentheses
-2x*4x+110=0
Wy multiply elements
-8x^2+110=0
a = -8; b = 0; c = +110;
Δ = b2-4ac
Δ = 02-4·(-8)·110
Δ = 3520
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:
$\sqrt{\Delta}=\sqrt{3520}=\sqrt{64*55}=\sqrt{64}*\sqrt{55}=8\sqrt{55}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{55}}{2*-8}=\frac{0-8\sqrt{55}}{-16} =-\frac{8\sqrt{55}}{-16} =-\frac{\sqrt{55}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{55}}{2*-8}=\frac{0+8\sqrt{55}}{-16} =\frac{8\sqrt{55}}{-16} =\frac{\sqrt{55}}{-2} $

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