(38=x)*4x=2.65

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Solution for (38=x)*4x=2.65 equation:



(38=x)*4x=2.65
We move all terms to the left:
(38-(x)*4x)=0
We add all the numbers together, and all the variables
(-x*4x+38)=0
We get rid of parentheses
-x*4x+38=0
Wy multiply elements
-4x^2+38=0
a = -4; b = 0; c = +38;
Δ = b2-4ac
Δ = 02-4·(-4)·38
Δ = 608
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:
$\sqrt{\Delta}=\sqrt{608}=\sqrt{16*38}=\sqrt{16}*\sqrt{38}=4\sqrt{38}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{38}}{2*-4}=\frac{0-4\sqrt{38}}{-8} =-\frac{4\sqrt{38}}{-8} =-\frac{\sqrt{38}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{38}}{2*-4}=\frac{0+4\sqrt{38}}{-8} =\frac{4\sqrt{38}}{-8} =\frac{\sqrt{38}}{-2} $

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