(-6/7)x+43=-29

Solution for (-6/7)x+43=-29 equation:

(-6/7)x+43=-29

We move all terms to the left:

(-6/7)x+43-(-29)=0


Domain of the equation: 7)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(-6/7)x+72=0

We multiply parentheses

-6x^2+72=0

a = -6; b = 0; c = +72;
Δ = b2-4ac
Δ = 02-4·(-6)·72
Δ = 1728
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:

$\sqrt{\Delta}=\sqrt{1728}=\sqrt{576*3}=\sqrt{576}*\sqrt{3}=24\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24\sqrt{3}}{2*-6}=\frac{0-24\sqrt{3}}{-12}
=-\frac{24\sqrt{3}}{-12}
=-\frac{2\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24\sqrt{3}}{2*-6}=\frac{0+24\sqrt{3}}{-12}
=\frac{24\sqrt{3}}{-12}
=\frac{2\sqrt{3}}{-1}
$