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x=122(x+60)8x
We move all terms to the left:
x-(122(x+60)8x)=0
We calculate terms in parentheses: -(122(x+60)8x), so:We get rid of parentheses
122(x+60)8x
We multiply parentheses
976x^2+58560x
Back to the equation:
-(976x^2+58560x)
-976x^2+x-58560x=0
We add all the numbers together, and all the variables
-976x^2-58559x=0
a = -976; b = -58559; c = 0;
Δ = b2-4ac
Δ = -585592-4·(-976)·0
Δ = 3429156481
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{3429156481}=58559$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-58559)-58559}{2*-976}=\frac{0}{-1952} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-58559)+58559}{2*-976}=\frac{117118}{-1952} =-59+975/976 $
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