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2(2x*12)+2(2x*12)=6*6*x
We move all terms to the left:
2(2x*12)+2(2x*12)-(6*6*x)=0
We add all the numbers together, and all the variables
2(+2x*12)+2(+2x*12)-(+6*6*x)=0
We multiply parentheses
48x+48x-(+6*6*x)=0
We get rid of parentheses
48x+48x-6*6*x=0
We add all the numbers together, and all the variables
96x-6*6*x=0
Wy multiply elements
96x-36x*x=0
Wy multiply elements
-36x^2+96x=0
a = -36; b = 96; c = 0;
Δ = b2-4ac
Δ = 962-4·(-36)·0
Δ = 9216
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{9216}=96$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(96)-96}{2*-36}=\frac{-192}{-72} =2+2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(96)+96}{2*-36}=\frac{0}{-72} =0 $
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