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X=8/7X
We move all terms to the left:
X-(8/7X)=0
Domain of the equation: 7X)!=0We add all the numbers together, and all the variables
X!=0/1
X!=0
X∈R
X-(+8/7X)=0
We get rid of parentheses
X-8/7X=0
We multiply all the terms by the denominator
X*7X-8=0
Wy multiply elements
7X^2-8=0
a = 7; b = 0; c = -8;
Δ = b2-4ac
Δ = 02-4·7·(-8)
Δ = 224
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}$$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{224}=\sqrt{16*14}=\sqrt{16}*\sqrt{14}=4\sqrt{14}$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-4\sqrt{14}}{2*7}=\frac{0-4\sqrt{14}}{14} =-\frac{4\sqrt{14}}{14} =-\frac{2\sqrt{14}}{7} $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+4\sqrt{14}}{2*7}=\frac{0+4\sqrt{14}}{14} =\frac{4\sqrt{14}}{14} =\frac{2\sqrt{14}}{7} $
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