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2x=(5x/60)
We move all terms to the left:
2x-((5x/60))=0
We add all the numbers together, and all the variables
2x-((+5x/60))=0
We multiply all the terms by the denominator
2x*60))-((+5x=0
We add all the numbers together, and all the variables
5x+2x*60))-((=0
Wy multiply elements
120x^2+5x=0
a = 120; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·120·0
Δ = 25
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{25}=5$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*120}=\frac{-10}{240} =-1/24 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*120}=\frac{0}{240} =0 $
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