26=2x*4x

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Solution for 26=2x*4x equation:



26=2x*4x
We move all terms to the left:
26-(2x*4x)=0
We add all the numbers together, and all the variables
-(+2x*4x)+26=0
We get rid of parentheses
-2x*4x+26=0
Wy multiply elements
-8x^2+26=0
a = -8; b = 0; c = +26;
Δ = b2-4ac
Δ = 02-4·(-8)·26
Δ = 832
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:
$\sqrt{\Delta}=\sqrt{832}=\sqrt{64*13}=\sqrt{64}*\sqrt{13}=8\sqrt{13}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{13}}{2*-8}=\frac{0-8\sqrt{13}}{-16} =-\frac{8\sqrt{13}}{-16} =-\frac{\sqrt{13}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{13}}{2*-8}=\frac{0+8\sqrt{13}}{-16} =\frac{8\sqrt{13}}{-16} =\frac{\sqrt{13}}{-2} $

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