3x(7x-11)=0

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Solution for 3x(7x-11)=0 equation:



3x(7x-11)=0
We multiply parentheses
21x^2-33x=0
a = 21; b = -33; c = 0;
Δ = b2-4ac
Δ = -332-4·21·0
Δ = 1089
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1089}=33$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33)-33}{2*21}=\frac{0}{42} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33)+33}{2*21}=\frac{66}{42} =1+4/7 $

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