10x2-6x=9x

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Solution for 10x2-6x=9x equation:



10x^2-6x=9x
We move all terms to the left:
10x^2-6x-(9x)=0
We add all the numbers together, and all the variables
10x^2-15x=0
a = 10; b = -15; c = 0;
Δ = b2-4ac
Δ = -152-4·10·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-15}{2*10}=\frac{0}{20} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+15}{2*10}=\frac{30}{20} =1+1/2 $

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