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4x=6(x-1/6)
We move all terms to the left:
4x-(6(x-1/6))=0
We add all the numbers together, and all the variables
4x-(6(+x-1/6))=0
We multiply all the terms by the denominator
4x*6))-(6(+x-1=0
We add all the numbers together, and all the variables
x+4x*6))-(6(-1=0
Wy multiply elements
24x^2+x-1=0
a = 24; b = 1; c = -1;
Δ = b2-4ac
Δ = 12-4·24·(-1)
Δ = 97
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{97}}{2*24}=\frac{-1-\sqrt{97}}{48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{97}}{2*24}=\frac{-1+\sqrt{97}}{48} $
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