294.90+460.00+x+(294.90+460.00+x)x.07=1057.

Solution for 294.90+460.00+x+(294.90+460.00+x)x.07=1057. equation:

294.90+460.00+x+(294.90+460.00+x)x.07=1057.

We move all terms to the left:

294.90+460.00+x+(294.90+460.00+x)x.07-(1057.)=0

We add all the numbers together, and all the variables

x+(x+754.9)x.07+294.90+460.00-1057=0

We add all the numbers together, and all the variables

x+(x+754.9)x.07-302.1=0

We multiply parentheses

x^2+x+754.9x-302.1=0

We add all the numbers together, and all the variables

x^2+755.9x-302.1=0

a = 1; b = 755.9; c = -302.1;
Δ = b2-4ac
Δ = 755.92-4·1·(-302.1)
Δ = 572593.21
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{-(755.9)-\sqrt{572593.21}}{2*1}=\frac{-755.9-\sqrt{572593.21}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(755.9)+\sqrt{572593.21}}{2*1}=\frac{-755.9+\sqrt{572593.21}}{2}
$