(2x-7)(3x-7)=0

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Solution for (2x-7)(3x-7)=0 equation:



(2x-7)(3x-7)=0
We multiply parentheses ..
(+6x^2-14x-21x+49)=0
We get rid of parentheses
6x^2-14x-21x+49=0
We add all the numbers together, and all the variables
6x^2-35x+49=0
a = 6; b = -35; c = +49;
Δ = b2-4ac
Δ = -352-4·6·49
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-35)-7}{2*6}=\frac{28}{12} =2+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-35)+7}{2*6}=\frac{42}{12} =3+1/2 $

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