(3x^2/5)-2x=0

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Solution for (3x^2/5)-2x=0 equation:



(3x^2/5)-2x=0
We add all the numbers together, and all the variables
-2x+(3x^2/5)=0
We get rid of parentheses
3x^2/5-2x=0
We multiply all the terms by the denominator
3x^2-2x*5=0
Wy multiply elements
3x^2-10x=0
a = 3; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·3·0
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*3}=\frac{0}{6} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*3}=\frac{20}{6} =3+1/3 $

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