x2*3=x1+7

Solution for x2*3=x1+7 equation:

x2*3=x1+7

We move all terms to the left:

x2*3-(x1+7)=0

We add all the numbers together, and all the variables

x2*3-(x+7)=0

Wy multiply elements

3x^2-(x+7)=0

We get rid of parentheses

3x^2-x-7=0

We add all the numbers together, and all the variables

3x^2-1x-7=0

a = 3; b = -1; c = -7;
Δ = b2-4ac
Δ = -12-4·3·(-7)
Δ = 85
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{-(-1)-\sqrt{85}}{2*3}=\frac{1-\sqrt{85}}{6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{85}}{2*3}=\frac{1+\sqrt{85}}{6}
$