-3/4x+5=8x

Solution for -3/4x+5=8x equation:

-3/4x+5=8x

We move all terms to the left:

-3/4x+5-(8x)=0


Domain of the equation: 4x!=0

x!=0/4

x!=0

x∈R


We add all the numbers together, and all the variables

-8x-3/4x+5=0

We multiply all the terms by the denominator


-8x*4x+5*4x-3=0

Wy multiply elements

-32x^2+20x-3=0

a = -32; b = 20; c = -3;
Δ = b2-4ac
Δ = 202-4·(-32)·(-3)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(20)-4}{2*-32}=\frac{-24}{-64}
=3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(20)+4}{2*-32}=\frac{-16}{-64}
=1/4
$