25x-8-3x(5-3)=7x-2

Solution for 25x-8-3x(5-3)=7x-2 equation:

25x-8-3x(5-3)=7x-2

We move all terms to the left:

25x-8-3x(5-3)-(7x-2)=0

We add all the numbers together, and all the variables

25x-3x2-(7x-2)-8=0

We add all the numbers together, and all the variables

-3x^2+25x-(7x-2)-8=0

We get rid of parentheses

-3x^2+25x-7x+2-8=0

We add all the numbers together, and all the variables

-3x^2+18x-6=0

a = -3; b = 18; c = -6;
Δ = b2-4ac
Δ = 182-4·(-3)·(-6)
Δ = 252
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:

$\sqrt{\Delta}=\sqrt{252}=\sqrt{36*7}=\sqrt{36}*\sqrt{7}=6\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-6\sqrt{7}}{2*-3}=\frac{-18-6\sqrt{7}}{-6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+6\sqrt{7}}{2*-3}=\frac{-18+6\sqrt{7}}{-6}
$