5x(7=5x)

Solution for 5x(7=5x) equation:

5x(7=5x)

We move all terms to the left:

5x(7-(5x))=0

We add all the numbers together, and all the variables

5x(-5x+7)=0

We multiply parentheses

-25x^2+35x=0

a = -25; b = 35; c = 0;
Δ = b2-4ac
Δ = 352-4·(-25)·0
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(35)-35}{2*-25}=\frac{-70}{-50}
=1+2/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(35)+35}{2*-25}=\frac{0}{-50}
=0
$