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24x^2-12x=36x
We move all terms to the left:
24x^2-12x-(36x)=0
We add all the numbers together, and all the variables
24x^2-48x=0
a = 24; b = -48; c = 0;
Δ = b2-4ac
Δ = -482-4·24·0
Δ = 2304
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{2304}=48$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-48}{2*24}=\frac{0}{48} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+48}{2*24}=\frac{96}{48} =2 $
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