3(3/4)x-12/25=0

Solution for 3(3/4)x-12/25=0 equation:

3(3/4)x-12/25=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(+3/4)x-12/25=0

We multiply parentheses

9x^2-12/25=0

We multiply all the terms by the denominator


9x^2*25-12=0

Wy multiply elements

225x^2-12=0

a = 225; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·225·(-12)
Δ = 10800
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:

$\sqrt{\Delta}=\sqrt{10800}=\sqrt{3600*3}=\sqrt{3600}*\sqrt{3}=60\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60\sqrt{3}}{2*225}=\frac{0-60\sqrt{3}}{450}
=-\frac{60\sqrt{3}}{450}
=-\frac{2\sqrt{3}}{15}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60\sqrt{3}}{2*225}=\frac{0+60\sqrt{3}}{450}
=\frac{60\sqrt{3}}{450}
=\frac{2\sqrt{3}}{15}
$