1x(x+14.7)+x=113.4

Solution for 1x(x+14.7)+x=113.4 equation:

1x(x+14.7)+x=113.4

We move all terms to the left:

1x(x+14.7)+x-(113.4)=0

We add all the numbers together, and all the variables

x+1x(x+14.7)-113.4=0

We multiply parentheses

x^2+x+14.7x-113.4=0

We add all the numbers together, and all the variables

x^2+15.7x-113.4=0

a = 1; b = 15.7; c = -113.4;
Δ = b2-4ac
Δ = 15.72-4·1·(-113.4)
Δ = 700.09
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{-(15.7)-\sqrt{700.09}}{2*1}=\frac{-15.7-\sqrt{700.09}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15.7)+\sqrt{700.09}}{2*1}=\frac{-15.7+\sqrt{700.09}}{2}
$