(3/4)x=27/64

Solution for (3/4)x=27/64 equation:

(3/4)x=27/64

We move all terms to the left:

(3/4)x-(27/64)=0


Domain of the equation: 4)x!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

(+3/4)x-(+27/64)=0

We multiply parentheses

3x^2-(+27/64)=0

We get rid of parentheses

3x^2-27/64=0

We multiply all the terms by the denominator


3x^2*64-27=0

Wy multiply elements

192x^2-27=0

a = 192; b = 0; c = -27;
Δ = b2-4ac
Δ = 02-4·192·(-27)
Δ = 20736
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{20736}=144$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*192}=\frac{-144}{384}
=-3/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*192}=\frac{144}{384}
=3/8
$