((7/8)c+7)=c

Solution for ((7/8)c+7)=c equation:

((7/8)c+7)=c

We move all terms to the left:

((7/8)c+7)-(c)=0


Domain of the equation: 8)c+7)!=0

c!=0/1

c!=0

c∈R


We add all the numbers together, and all the variables

((+7/8)c+7)-c=0

We add all the numbers together, and all the variables

-1c+((+7/8)c+7)=0

We multiply all the terms by the denominator


-1c*8)c+7)+((+7=0

Wy multiply elements

-8c^2+7=0

a = -8; b = 0; c = +7;
Δ = b2-4ac
Δ = 02-4·(-8)·7
Δ = 224
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*-8}=\frac{0-4\sqrt{14}}{-16}
=-\frac{4\sqrt{14}}{-16}
=-\frac{\sqrt{14}}{-4}
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*-8}=\frac{0+4\sqrt{14}}{-16}
=\frac{4\sqrt{14}}{-16}
=\frac{\sqrt{14}}{-4}
$