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-2x-6x(-x+12)=-154
We move all terms to the left:
-2x-6x(-x+12)-(-154)=0
We add all the numbers together, and all the variables
-2x-6x(-1x+12)-(-154)=0
We add all the numbers together, and all the variables
-2x-6x(-1x+12)+154=0
We multiply parentheses
6x^2-2x-72x+154=0
We add all the numbers together, and all the variables
6x^2-74x+154=0
a = 6; b = -74; c = +154;
Δ = b2-4ac
Δ = -742-4·6·154
Δ = 1780
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{1780}=\sqrt{4*445}=\sqrt{4}*\sqrt{445}=2\sqrt{445}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-74)-2\sqrt{445}}{2*6}=\frac{74-2\sqrt{445}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-74)+2\sqrt{445}}{2*6}=\frac{74+2\sqrt{445}}{12} $
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