-21x=-63x^2

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Solution for -21x=-63x^2 equation:



-21x=-63x^2
We move all terms to the left:
-21x-(-63x^2)=0
We get rid of parentheses
63x^2-21x=0
a = 63; b = -21; c = 0;
Δ = b2-4ac
Δ = -212-4·63·0
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*63}=\frac{0}{126} =0 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-21)+21}{2*63}=\frac{42}{126} =1/3 $

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