315-(3/4)x=x

Solution for 315-(3/4)x=x equation:

315-(3/4)x=x

We move all terms to the left:

315-(3/4)x-(x)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-(+3/4)x-x+315=0

We add all the numbers together, and all the variables

-1x-(+3/4)x+315=0

We multiply parentheses

-3x^2-1x+315=0

a = -3; b = -1; c = +315;
Δ = b2-4ac
Δ = -12-4·(-3)·315
Δ = 3781
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{3781}}{2*-3}=\frac{1-\sqrt{3781}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{3781}}{2*-3}=\frac{1+\sqrt{3781}}{-6}
$