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x/22=-8+5x*
We move all terms to the left:
x/22-(-8+5x*)=0
We add all the numbers together, and all the variables
x/22-(5x*-8)=0
We get rid of parentheses
x/22-5x*+8=0
We multiply all the terms by the denominator
x-(5x*)*22+8*22=0
We add all the numbers together, and all the variables
x-(+5x*)*22+8*22=0
We add all the numbers together, and all the variables
x-(+5x*)*22+176=0
We multiply parentheses
-110x^2+x+176=0
a = -110; b = 1; c = +176;
Δ = b2-4ac
Δ = 12-4·(-110)·176
Δ = 77441
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)-\sqrt{77441}}{2*-110}=\frac{-1-\sqrt{77441}}{-220} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{77441}}{2*-110}=\frac{-1+\sqrt{77441}}{-220} $
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