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x+(2/3)x-15=180
We move all terms to the left:
x+(2/3)x-15-(180)=0
Domain of the equation: 3)x!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
x+(+2/3)x-15-180=0
We add all the numbers together, and all the variables
x+(+2/3)x-195=0
We multiply parentheses
2x^2+x-195=0
a = 2; b = 1; c = -195;
Δ = b2-4ac
Δ = 12-4·2·(-195)
Δ = 1561
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{1561}}{2*2}=\frac{-1-\sqrt{1561}}{4} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1561}}{2*2}=\frac{-1+\sqrt{1561}}{4} $
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