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-3x(7x-1)=-1
We move all terms to the left:
-3x(7x-1)-(-1)=0
We add all the numbers together, and all the variables
-3x(7x-1)+1=0
We multiply parentheses
-21x^2+3x+1=0
a = -21; b = 3; c = +1;
Δ = b2-4ac
Δ = 32-4·(-21)·1
Δ = 93
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{-(3)-\sqrt{93}}{2*-21}=\frac{-3-\sqrt{93}}{-42} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{93}}{2*-21}=\frac{-3+\sqrt{93}}{-42} $
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