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50x=55(x-3/4)
We move all terms to the left:
50x-(55(x-3/4))=0
We add all the numbers together, and all the variables
50x-(55(+x-3/4))=0
We multiply all the terms by the denominator
50x*4))-(55(+x-3=0
We add all the numbers together, and all the variables
x+50x*4))-(55(-3=0
Wy multiply elements
200x^2+x-3=0
a = 200; b = 1; c = -3;
Δ = b2-4ac
Δ = 12-4·200·(-3)
Δ = 2401
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{2401}=49$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-49}{2*200}=\frac{-50}{400} =-1/8 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+49}{2*200}=\frac{48}{400} =3/25 $
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