-42x(-42x)=3x

Solution for -42x(-42x)=3x equation:

-42x(-42x)=3x

We move all terms to the left:

-42x(-42x)-(3x)=0

We add all the numbers together, and all the variables

-3x-42x(-42x)=0

We multiply parentheses

1764x^2-3x=0

a = 1764; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·1764·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*1764}=\frac{0}{3528}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*1764}=\frac{6}{3528}
=1/588
$