1/3x+5=-x+6

Solution for 1/3x+5=-x+6 equation:

1/3x+5=-x+6

We move all terms to the left:

1/3x+5-(-x+6)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

1/3x-(-1x+6)+5=0

We get rid of parentheses

1/3x+1x-6+5=0

We multiply all the terms by the denominator


1x*3x-6*3x+5*3x+1=0

Wy multiply elements

3x^2-18x+15x+1=0

We add all the numbers together, and all the variables

3x^2-3x+1=0

a = 3; b = -3; c = +1;
Δ = b2-4ac
Δ = -32-4·3·1
Δ = -3
Delta is less than zero, so there is no solution for the equation