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3x(2x+7)+4x=x
We move all terms to the left:
3x(2x+7)+4x-(x)=0
We add all the numbers together, and all the variables
3x+3x(2x+7)=0
We multiply parentheses
6x^2+3x+21x=0
We add all the numbers together, and all the variables
6x^2+24x=0
a = 6; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·6·0
Δ = 576
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{576}=24$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*6}=\frac{-48}{12} =-4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*6}=\frac{0}{12} =0 $
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