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-8x(3x-4)+51x=8
We move all terms to the left:
-8x(3x-4)+51x-(8)=0
We add all the numbers together, and all the variables
51x-8x(3x-4)-8=0
We multiply parentheses
-24x^2+51x+32x-8=0
We add all the numbers together, and all the variables
-24x^2+83x-8=0
a = -24; b = 83; c = -8;
Δ = b2-4ac
Δ = 832-4·(-24)·(-8)
Δ = 6121
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{-(83)-\sqrt{6121}}{2*-24}=\frac{-83-\sqrt{6121}}{-48} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(83)+\sqrt{6121}}{2*-24}=\frac{-83+\sqrt{6121}}{-48} $
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