0=x(.0196x-1.37)

Solution for 0=x(.0196x-1.37) equation:

0=x(.0196x-1.37)

We move all terms to the left:

0-(x(.0196x-1.37))=0

We add all the numbers together, and all the variables

-(x(.0196x-1.37))=0


We calculate terms in parentheses: -(x(.0196x-1.37)), so:

x(.0196x-1.37)

We multiply parentheses

x^2-1.37x

Back to the equation:

-(x^2-1.37x)


We get rid of parentheses

-x^2+1.37x=0

We add all the numbers together, and all the variables

-1x^2+1.37x=0

a = -1; b = 1.37; c = 0;
Δ = b2-4ac
Δ = 1.372-4·(-1)·0
Δ = 1.8769
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1.37)-\sqrt{1.8769}}{2*-1}=\frac{-1.37-\sqrt{1.8769}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.37)+\sqrt{1.8769}}{2*-1}=\frac{-1.37+\sqrt{1.8769}}{-2}
$