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3x+4/6x+7=x+1/6x+7
We move all terms to the left:
3x+4/6x+7-(x+1/6x+7)=0
Domain of the equation: 6x!=0
x!=0/6
x!=0
x∈R
Domain of the equation: 6x+7)!=0We get rid of parentheses
x∈R
3x+4/6x-x-1/6x-7+7=0
We multiply all the terms by the denominator
3x*6x-x*6x-7*6x+7*6x+4-1=0
We add all the numbers together, and all the variables
3x*6x-x*6x-7*6x+7*6x+3=0
Wy multiply elements
18x^2-6x^2-42x+42x+3=0
We add all the numbers together, and all the variables
12x^2+3=0
a = 12; b = 0; c = +3;
Δ = b2-4ac
Δ = 02-4·12·3
Δ = -144
Delta is less than zero, so there is no solution for the equation
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