405=x*5*x

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Solution for 405=x*5*x equation:



405=x*5x
We move all terms to the left:
405-(x*5x)=0
We add all the numbers together, and all the variables
-(+x*5x)+405=0
We get rid of parentheses
-x*5x+405=0
Wy multiply elements
-5x^2+405=0
a = -5; b = 0; c = +405;
Δ = b2-4ac
Δ = 02-4·(-5)·405
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-90}{2*-5}=\frac{-90}{-10} =+9 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+90}{2*-5}=\frac{90}{-10} =-9 $

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