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X+X(12/100)=295000
We move all terms to the left:
X+X(12/100)-(295000)=0
We add all the numbers together, and all the variables
X+X(+12/100)-295000=0
We multiply parentheses
12X^2+X-295000=0
a = 12; b = 1; c = -295000;
Δ = b2-4ac
Δ = 12-4·12·(-295000)
Δ = 14160001
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{14160001}}{2*12}=\frac{-1-\sqrt{14160001}}{24} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{14160001}}{2*12}=\frac{-1+\sqrt{14160001}}{24} $
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