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2x(3x-15)=3.14(34x)
We move all terms to the left:
2x(3x-15)-(3.14(34x))=0
We add all the numbers together, and all the variables
2x(3x-15)-(+3.1434x)=0
We multiply parentheses
6x^2-30x-(+3.1434x)=0
We get rid of parentheses
6x^2-30x-3.1434x=0
We add all the numbers together, and all the variables
6x^2-33.1434x=0
a = 6; b = -33.1434; c = 0;
Δ = b2-4ac
Δ = -33.14342-4·6·0
Δ = 1098.48496356
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-33.1434)-\sqrt{1098.48496356}}{2*6}=\frac{33.1434-\sqrt{1098.48496356}}{12} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-33.1434)+\sqrt{1098.48496356}}{2*6}=\frac{33.1434+\sqrt{1098.48496356}}{12} $
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