x=360-(1485-4,3x)/4

Solution for x=360-(1485-4,3x)/4 equation:

x=360-(1485-4.3x)/4

We move all terms to the left:

x-(360-(1485-4.3x)/4)=0

We add all the numbers together, and all the variables

x-(360-(-4.3x+1485)/4)=0

We multiply all the terms by the denominator


x*4)-(360-(-4.3x+1485)=0

Wy multiply elements

4x^2-(-4.3x+1485)=0

We get rid of parentheses

4x^2+4.3x-1485=0

a = 4; b = 4.3; c = -1485;
Δ = b2-4ac
Δ = 4.32-4·4·(-1485)
Δ = 23778.49
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{-(4.3)-\sqrt{23778.49}}{2*4}=\frac{-4.3-\sqrt{23778.49}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4.3)+\sqrt{23778.49}}{2*4}=\frac{-4.3+\sqrt{23778.49}}{8}
$