(-5/7)x=-5

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Solution for (-5/7)x=-5 equation:



(-5/7)x=-5
We move all terms to the left:
(-5/7)x-(-5)=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
(-5/7)x+5=0
We multiply parentheses
-5x^2+5=0
a = -5; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-5)·5
Δ = 100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{100}=10$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10}{2*-5}=\frac{-10}{-10} =1 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10}{2*-5}=\frac{10}{-10} =-1 $

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