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-1/5x+70=-2x+7
We move all terms to the left:
-1/5x+70-(-2x+7)=0
Domain of the equation: 5x!=0We get rid of parentheses
x!=0/5
x!=0
x∈R
-1/5x+2x-7+70=0
We multiply all the terms by the denominator
2x*5x-7*5x+70*5x-1=0
Wy multiply elements
10x^2-35x+350x-1=0
We add all the numbers together, and all the variables
10x^2+315x-1=0
a = 10; b = 315; c = -1;
Δ = b2-4ac
Δ = 3152-4·10·(-1)
Δ = 99265
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{-(315)-\sqrt{99265}}{2*10}=\frac{-315-\sqrt{99265}}{20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(315)+\sqrt{99265}}{2*10}=\frac{-315+\sqrt{99265}}{20} $
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