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3x*7x+1=1+10x
We move all terms to the left:
3x*7x+1-(1+10x)=0
We add all the numbers together, and all the variables
3x*7x-(10x+1)+1=0
Wy multiply elements
21x^2-(10x+1)+1=0
We get rid of parentheses
21x^2-10x-1+1=0
We add all the numbers together, and all the variables
21x^2-10x=0
a = 21; b = -10; c = 0;
Δ = b2-4ac
Δ = -102-4·21·0
Δ = 100
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{100}=10$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-10)-10}{2*21}=\frac{0}{42} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+10}{2*21}=\frac{20}{42} =10/21 $
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