-(6/7)x=-12

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Solution for -(6/7)x=-12 equation:



-(6/7)x=-12
We move all terms to the left:
-(6/7)x-(-12)=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-(-12)=0
We add all the numbers together, and all the variables
-(+6/7)x+12=0
We multiply parentheses
-6x^2+12=0
a = -6; b = 0; c = +12;
Δ = b2-4ac
Δ = 02-4·(-6)·12
Δ = 288
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:
$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-12\sqrt{2}}{2*-6}=\frac{0-12\sqrt{2}}{-12} =-\frac{12\sqrt{2}}{-12} =-\frac{\sqrt{2}}{-1} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+12\sqrt{2}}{2*-6}=\frac{0+12\sqrt{2}}{-12} =\frac{12\sqrt{2}}{-12} =\frac{\sqrt{2}}{-1} $

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