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4x(-3x+2)=7x=
We move all terms to the left:
4x(-3x+2)-(7x)=0
We add all the numbers together, and all the variables
-7x+4x(-3x+2)=0
We multiply parentheses
-12x^2-7x+8x=0
We add all the numbers together, and all the variables
-12x^2+x=0
a = -12; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-12)·0
Δ = 1
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{1}=1$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-12}=\frac{-2}{-24} =1/12 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-12}=\frac{0}{-24} =0 $
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