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1/4x+2/7x=2
We move all terms to the left:
1/4x+2/7x-(2)=0
Domain of the equation: 4x!=0
x!=0/4
x!=0
x∈R
Domain of the equation: 7x!=0We calculate fractions
x!=0/7
x!=0
x∈R
7x/28x^2+8x/28x^2-2=0
We multiply all the terms by the denominator
7x+8x-2*28x^2=0
We add all the numbers together, and all the variables
15x-2*28x^2=0
Wy multiply elements
-56x^2+15x=0
a = -56; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-56)·0
Δ = 225
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{225}=15$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-56}=\frac{-30}{-112} =15/56 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-56}=\frac{0}{-112} =0 $
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