(x+25)(2x-25)-2x*2=375

Solution for (x+25)(2x-25)-2x*2=375 equation:

(x+25)(2x-25)-2x*2=375

We move all terms to the left:

(x+25)(2x-25)-2x*2-(375)=0

Wy multiply elements

(x+25)(2x-25)-4x-375=0

We multiply parentheses ..

(+2x^2-25x+50x-625)-4x-375=0

We get rid of parentheses

2x^2-25x+50x-4x-625-375=0

We add all the numbers together, and all the variables

2x^2+21x-1000=0

a = 2; b = 21; c = -1000;
Δ = b2-4ac
Δ = 212-4·2·(-1000)
Δ = 8441
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{-(21)-\sqrt{8441}}{2*2}=\frac{-21-\sqrt{8441}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(21)+\sqrt{8441}}{2*2}=\frac{-21+\sqrt{8441}}{4}
$