x=(109.61x+8557.7)-8557.7/109.61

Solution for x=(109.61x+8557.7)-8557.7/109.61 equation:

x=(109.61x+8557.7)-8557.7/109.61

We move all terms to the left:

x-((109.61x+8557.7)-8557.7/109.61)=0

We multiply all the terms by the denominator


x*109.61)-((109.61x+8557.7)-8557.7=0

Wy multiply elements

109x^2-8557.7=0

a = 109; b = 0; c = -8557.7;
Δ = b2-4ac
Δ = 02-4·109·(-8557.7)
Δ = 3731157.2
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)-\sqrt{3731157.2}}{2*109}=\frac{0-\sqrt{3731157.2}}{218}
=-\frac{\sqrt{}}{218}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3731157.2}}{2*109}=\frac{0+\sqrt{3731157.2}}{218}
=\frac{\sqrt{}}{218}
$