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x^2-5x+12=2x+6x
We move all terms to the left:
x^2-5x+12-(2x+6x)=0
We add all the numbers together, and all the variables
x^2-5x-(+8x)+12=0
We get rid of parentheses
x^2-5x-8x+12=0
We add all the numbers together, and all the variables
x^2-13x+12=0
a = 1; b = -13; c = +12;
Δ = b2-4ac
Δ = -132-4·1·12
Δ = 121
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{121}=11$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-13)-11}{2*1}=\frac{2}{2} =1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-13)+11}{2*1}=\frac{24}{2} =12 $
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