6x/10x=10x/14x+16

Solution for 6x/10x=10x/14x+16 equation:

6x/10x=10x/14x+16

We move all terms to the left:

6x/10x-(10x/14x+16)=0


Domain of the equation: 10x!=0

x!=0/10

x!=0

x∈R



Domain of the equation: 14x+16)!=0

x∈R


We get rid of parentheses

6x/10x-10x/14x-16=0

We calculate fractions


(-100x^2)/140x^2+84x^2/140x^2-16=0

We multiply all the terms by the denominator


(-100x^2)+84x^2-16*140x^2=0

We add all the numbers together, and all the variables

84x^2+(-100x^2)-16*140x^2=0

Wy multiply elements

84x^2+(-100x^2)-2240x^2=0

We get rid of parentheses

84x^2-100x^2-2240x^2=0

We add all the numbers together, and all the variables

-2256x^2=0

a = -2256; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-2256)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-4512}=0$