-12=100x(-59/x)

Solution for -12=100x(-59/x) equation:

-12=100x(-59/x)

We move all terms to the left:

-12-(100x(-59/x))=0


Domain of the equation: x))!=0

x!=0/1

x!=0

x∈R


We multiply all the terms by the denominator


-(100x(-59-12*x))=0


We calculate terms in parentheses: -(100x(-59-12*x)), so:

100x(-59-12*x)

We add all the numbers together, and all the variables

100x(-12x-59)

We multiply parentheses

-1200x^2-5900x

Back to the equation:

-(-1200x^2-5900x)


We get rid of parentheses

1200x^2+5900x=0

a = 1200; b = 5900; c = 0;
Δ = b2-4ac
Δ = 59002-4·1200·0
Δ = 34810000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{34810000}=5900$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5900)-5900}{2*1200}=\frac{-11800}{2400}
=-4+11/12
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5900)+5900}{2*1200}=\frac{0}{2400}
=0
$