(3x+25)2x=x

Solution for (3x+25)2x=x equation:

(3x+25)2x=x

We move all terms to the left:

(3x+25)2x-(x)=0

We add all the numbers together, and all the variables

-1x+(3x+25)2x=0

We multiply parentheses

6x^2-1x+50x=0

We add all the numbers together, and all the variables

6x^2+49x=0

a = 6; b = 49; c = 0;
Δ = b2-4ac
Δ = 492-4·6·0
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(49)-49}{2*6}=\frac{-98}{12}
=-8+1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(49)+49}{2*6}=\frac{0}{12}
=0
$