6x*5x=30x

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Solution for 6x*5x=30x equation:



6x*5x=30x
We move all terms to the left:
6x*5x-(30x)=0
We add all the numbers together, and all the variables
-30x+6x*5x=0
Wy multiply elements
30x^2-30x=0
a = 30; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·30·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*30}=\frac{0}{60} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*30}=\frac{60}{60} =1 $

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