7x/2x=8x=46

Solution for 7x/2x=8x=46 equation:

7x/2x=8x=46

We move all terms to the left:

7x/2x-(8x)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

-8x+7x/2x=0

We multiply all the terms by the denominator


-8x*2x+7x=0

We add all the numbers together, and all the variables

7x-8x*2x=0

Wy multiply elements

-16x^2+7x=0

a = -16; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-16)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-16}=\frac{-14}{-32}
=7/16
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-16}=\frac{0}{-32}
=0
$