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-3(6x-1)12x-14=-30.20
We move all terms to the left:
-3(6x-1)12x-14-(-30.20)=0
We add all the numbers together, and all the variables
-3(6x-1)12x-14-(-30.2)=0
We add all the numbers together, and all the variables
-3(6x-1)12x+16.2=0
We multiply parentheses
-216x^2+36x+16.2=0
a = -216; b = 36; c = +16.2;
Δ = b2-4ac
Δ = 362-4·(-216)·16.2
Δ = 15292.8
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{-(36)-\sqrt{15292.8}}{2*-216}=\frac{-36-\sqrt{15292.8}}{-432} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+\sqrt{15292.8}}{2*-216}=\frac{-36+\sqrt{15292.8}}{-432} $
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