(7/5)x-7=2.8

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Solution for (7/5)x-7=2.8 equation:



(7/5)x-7=2.8
We move all terms to the left:
(7/5)x-7-(2.8)=0
Domain of the equation: 5)x!=0
x!=0/1
x!=0
x∈R
We add all the numbers together, and all the variables
(+7/5)x-7-(2.8)=0
We add all the numbers together, and all the variables
(+7/5)x-9.8=0
We multiply parentheses
7x^2-9.8=0
a = 7; b = 0; c = -9.8;
Δ = b2-4ac
Δ = 02-4·7·(-9.8)
Δ = 274.4
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{274.4}}{2*7}=\frac{0-\sqrt{274.4}}{14} =-\frac{\sqrt{}}{14} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{274.4}}{2*7}=\frac{0+\sqrt{274.4}}{14} =\frac{\sqrt{}}{14} $

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