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6x(2x-1)=4x+7x
We move all terms to the left:
6x(2x-1)-(4x+7x)=0
We add all the numbers together, and all the variables
6x(2x-1)-(+11x)=0
We multiply parentheses
12x^2-6x-(+11x)=0
We get rid of parentheses
12x^2-6x-11x=0
We add all the numbers together, and all the variables
12x^2-17x=0
a = 12; b = -17; c = 0;
Δ = b2-4ac
Δ = -172-4·12·0
Δ = 289
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{289}=17$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-17}{2*12}=\frac{0}{24} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+17}{2*12}=\frac{34}{24} =1+5/12 $
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