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-2x(6x-9)=6x
We move all terms to the left:
-2x(6x-9)-(6x)=0
We add all the numbers together, and all the variables
-6x-2x(6x-9)=0
We multiply parentheses
-12x^2-6x+18x=0
We add all the numbers together, and all the variables
-12x^2+12x=0
a = -12; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·(-12)·0
Δ = 144
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{144}=12$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*-12}=\frac{-24}{-24} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*-12}=\frac{0}{-24} =0 $
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