(3/4)x-(2/3)=0

Solution for (3/4)x-(2/3)=0 equation:

(3/4)x-(2/3)=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-(+2/3)=0

We multiply parentheses

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

We get rid of parentheses

3x^2-2/3=0

We multiply all the terms by the denominator


3x^2*3-2=0

Wy multiply elements

9x^2-2=0

a = 9; b = 0; c = -2;
Δ = b2-4ac
Δ = 02-4·9·(-2)
Δ = 72
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:

$\sqrt{\Delta}=\sqrt{72}=\sqrt{36*2}=\sqrt{36}*\sqrt{2}=6\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{2}}{2*9}=\frac{0-6\sqrt{2}}{18}
=-\frac{6\sqrt{2}}{18}
=-\frac{\sqrt{2}}{3}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{2}}{2*9}=\frac{0+6\sqrt{2}}{18}
=\frac{6\sqrt{2}}{18}
=\frac{\sqrt{2}}{3}
$