14+1x(2)=37+1x

Solution for 14+1x(2)=37+1x equation:

14+1x(2)=37+1x

We move all terms to the left:

14+1x(2)-(37+1x)=0

We add all the numbers together, and all the variables

1x2-(x+37)+14=0

We add all the numbers together, and all the variables

x^2-(x+37)+14=0

We get rid of parentheses

x^2-x-37+14=0

We add all the numbers together, and all the variables

x^2-1x-23=0

a = 1; b = -1; c = -23;
Δ = b2-4ac
Δ = -12-4·1·(-23)
Δ = 93
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{93}}{2*1}=\frac{1-\sqrt{93}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{93}}{2*1}=\frac{1+\sqrt{93}}{2}
$