7x2=-21x

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Solution for 7x2=-21x equation:



7x^2=-21x
We move all terms to the left:
7x^2-(-21x)=0
We get rid of parentheses
7x^2+21x=0
a = 7; b = 21; c = 0;
Δ = b2-4ac
Δ = 212-4·7·0
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(21)-21}{2*7}=\frac{-42}{14} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+21}{2*7}=\frac{0}{14} =0 $

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