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18x^2+15x-8=3x-8
We move all terms to the left:
18x^2+15x-8-(3x-8)=0
We get rid of parentheses
18x^2+15x-3x+8-8=0
We add all the numbers together, and all the variables
18x^2+12x=0
a = 18; b = 12; c = 0;
Δ = b2-4ac
Δ = 122-4·18·0
Δ = 144
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{144}=12$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12}{2*18}=\frac{-24}{36} =-2/3 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12}{2*18}=\frac{0}{36} =0 $
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