15/100*x=230

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Solution for 15/100*x=230 equation: 



15/100*x=230

We move all terms to the left:

15/100*x-(230)=0



Domain of the equation: 100*x!=0

x!=0/1

x!=0

x∈R



We multiply all the terms by the denominator


-230*100*x+15=0

Wy multiply elements

-23000x*x+15=0

Wy multiply elements

-23000x^2+15=0

a = -23000; b = 0; c = +15;
Δ = b2-4ac
Δ = 02-4·(-23000)·15
Δ = 1380000
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:


$\sqrt{\Delta}=\sqrt{1380000}=\sqrt{10000*138}=\sqrt{10000}*\sqrt{138}=100\sqrt{138}$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-100\sqrt{138}}{2*-23000}=\frac{0-100\sqrt{138}}{-46000}
=-\frac{100\sqrt{138}}{-46000}
=-\frac{\sqrt{138}}{-460}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+100\sqrt{138}}{2*-23000}=\frac{0+100\sqrt{138}}{-46000}
=\frac{100\sqrt{138}}{-46000}
=\frac{\sqrt{138}}{-460}
$

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