X=x(x-14)

Solution for X=x(x-14) equation:

X=X(X-14)

We move all terms to the left:

X-(X(X-14))=0


We calculate terms in parentheses: -(X(X-14)), so:

X(X-14)

We multiply parentheses

X^2-14X

Back to the equation:

-(X^2-14X)


We get rid of parentheses

-X^2+X+14X=0

We add all the numbers together, and all the variables

-1X^2+15X=0

a = -1; b = 15; c = 0;
Δ = b2-4ac
Δ = 152-4·(-1)·0
Δ = 225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{225}=15$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(15)-15}{2*-1}=\frac{-30}{-2}
=+15
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(15)+15}{2*-1}=\frac{0}{-2}
=0
$