5x=(3x-6/5)

Solution for 5x=(3x-6/5) equation:

5x=(3x-6/5)

We move all terms to the left:

5x-((3x-6/5))=0

We add all the numbers together, and all the variables

5x-((+3x-6/5))=0

We multiply all the terms by the denominator


5x*5))-((+3x-6=0

We add all the numbers together, and all the variables

3x+5x*5))-((-6=0

Wy multiply elements

25x^2+3x-6=0

a = 25; b = 3; c = -6;
Δ = b2-4ac
Δ = 32-4·25·(-6)
Δ = 609
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{609}}{2*25}=\frac{-3-\sqrt{609}}{50}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{609}}{2*25}=\frac{-3+\sqrt{609}}{50}
$