x=3(-2/7)+1

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Solution for x=3(-2/7)+1 equation:



x=3(-2/7)+1
We move all terms to the left:
x-(3(-2/7)+1)=0
We multiply all the terms by the denominator
x*7)+1)-(3(-2=0
Wy multiply elements
7x^2-2=0
a = 7; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·7·(-2)
Δ = 56
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{56}=\sqrt{4*14}=\sqrt{4}*\sqrt{14}=2\sqrt{14}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2\sqrt{14}}{2*7}=\frac{0-2\sqrt{14}}{14} =-\frac{2\sqrt{14}}{14} =-\frac{\sqrt{14}}{7} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2\sqrt{14}}{2*7}=\frac{0+2\sqrt{14}}{14} =\frac{2\sqrt{14}}{14} =\frac{\sqrt{14}}{7} $

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