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2x+20=x+6012)4x+1=25+2x
We move all terms to the left:
2x+20-(x+6012)4x+1)=0
We add all the numbers together, and all the variables
2x-(x+6012)4x=0
We multiply parentheses
-4x^2+2x-24048x=0
We add all the numbers together, and all the variables
-4x^2-24046x=0
a = -4; b = -24046; c = 0;
Δ = b2-4ac
Δ = -240462-4·(-4)·0
Δ = 578210116
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{578210116}=24046$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24046)-24046}{2*-4}=\frac{0}{-8} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24046)+24046}{2*-4}=\frac{48092}{-8} =-6011+1/2 $
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