-x=-36-7/10x

Solution for -x=-36-7/10x equation:

-x=-36-7/10x

We move all terms to the left:

-x-(-36-7/10x)=0


Domain of the equation: 10x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-x-(-7/10x-36)=0

We add all the numbers together, and all the variables

-1x-(-7/10x-36)=0

We get rid of parentheses

-1x+7/10x+36=0

We multiply all the terms by the denominator


-1x*10x+36*10x+7=0

Wy multiply elements

-10x^2+360x+7=0

a = -10; b = 360; c = +7;
Δ = b2-4ac
Δ = 3602-4·(-10)·7
Δ = 129880
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{129880}=\sqrt{4*32470}=\sqrt{4}*\sqrt{32470}=2\sqrt{32470}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(360)-2\sqrt{32470}}{2*-10}=\frac{-360-2\sqrt{32470}}{-20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(360)+2\sqrt{32470}}{2*-10}=\frac{-360+2\sqrt{32470}}{-20}
$