(x-6)(7-x)=x2

Solution for (x-6)(7-x)=x2 equation:

(x-6)(7-x)=x2

We move all terms to the left:

(x-6)(7-x)-(x2)=0

We add all the numbers together, and all the variables

(x-6)(-1x+7)-x2=0

We add all the numbers together, and all the variables

-1x^2+(x-6)(-1x+7)=0

We multiply parentheses ..

-1x^2+(-1x^2+7x+6x-42)=0

We get rid of parentheses

-1x^2-1x^2+7x+6x-42=0

We add all the numbers together, and all the variables

-2x^2+13x-42=0

a = -2; b = 13; c = -42;
Δ = b2-4ac
Δ = 132-4·(-2)·(-42)
Δ = -167
Delta is less than zero, so there is no solution for the equation