x-(x*0.035)+((x*0.035*)0.16)=100

Solution for x-(x*0.035)+((x*0.035*)0.16)=100 equation:

x-(x*0.035)+((x*0.035*)0.16)=100

We move all terms to the left:

x-(x*0.035)+((x*0.035*)0.16)-(100)=0

We add all the numbers together, and all the variables

x-(+x*0.035)+((+x*0.035*)0.16)-100=0

We get rid of parentheses

x-x*0.035+((+x*0.035*)0.16)-100=0


We calculate terms in parentheses: +((+x*0.035*)0.16), so:

(+x*0.035*)0.16

We multiply parentheses

0.0056x^2

Back to the equation:

+(0.0056x^2)


Wy multiply elements

x-0.035x+(0.0056x^2)-100=0

We get rid of parentheses

0.0056x^2+x-0.035x-100=0

We add all the numbers together, and all the variables

0.0056x^2+0.965x-100=0

a = 0.0056; b = 0.965; c = -100;
Δ = b2-4ac
Δ = 0.9652-4·0.0056·(-100)
Δ = 3.171225
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{-(0.965)-\sqrt{3.171225}}{2*0.0056}=\frac{-0.965-\sqrt{3.171225}}{0.0112}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0.965)+\sqrt{3.171225}}{2*0.0056}=\frac{-0.965+\sqrt{3.171225}}{0.0112}
$