(3x-1)*(7x+7)=0

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Solution for (3x-1)*(7x+7)=0 equation:



(3x-1)(7x+7)=0
We multiply parentheses ..
(+21x^2+21x-7x-7)=0
We get rid of parentheses
21x^2+21x-7x-7=0
We add all the numbers together, and all the variables
21x^2+14x-7=0
a = 21; b = 14; c = -7;
Δ = b2-4ac
Δ = 142-4·21·(-7)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(14)-28}{2*21}=\frac{-42}{42} =-1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(14)+28}{2*21}=\frac{14}{42} =1/3 $

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