X*5x=6x

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Solution for X*5x=6x equation:



X*5X=6X
We move all terms to the left:
X*5X-(6X)=0
We add all the numbers together, and all the variables
-6X+X*5X=0
Wy multiply elements
5X^2-6X=0
a = 5; b = -6; c = 0;
Δ = b2-4ac
Δ = -62-4·5·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6}{2*5}=\frac{0}{10} =0 $
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6}{2*5}=\frac{12}{10} =1+1/5 $

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