-16/7x=-4x

Solution for -16/7x=-4x equation:

-16/7x=-4x

We move all terms to the left:

-16/7x-(-4x)=0


Domain of the equation: 7x!=0

x!=0/7

x!=0

x∈R


We get rid of parentheses

-16/7x+4x=0

We multiply all the terms by the denominator


4x*7x-16=0

Wy multiply elements

28x^2-16=0

a = 28; b = 0; c = -16;
Δ = b2-4ac
Δ = 02-4·28·(-16)
Δ = 1792
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:

$\sqrt{\Delta}=\sqrt{1792}=\sqrt{256*7}=\sqrt{256}*\sqrt{7}=16\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{7}}{2*28}=\frac{0-16\sqrt{7}}{56}
=-\frac{16\sqrt{7}}{56}
=-\frac{2\sqrt{7}}{7}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{7}}{2*28}=\frac{0+16\sqrt{7}}{56}
=\frac{16\sqrt{7}}{56}
=\frac{2\sqrt{7}}{7}
$