(x-2)(x-7)=-20

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Solution for (x-2)(x-7)=-20 equation: 



(x-2)(x-7)=-20

We move all terms to the left:

(x-2)(x-7)-(-20)=0

We add all the numbers together, and all the variables

(x-2)(x-7)+20=0

We multiply parentheses ..

(+x^2-7x-2x+14)+20=0

We get rid of parentheses

x^2-7x-2x+14+20=0

We add all the numbers together, and all the variables

x^2-9x+34=0

a = 1; b = -9; c = +34;
Δ = b2-4ac
Δ = -92-4·1·34
Δ = -55
Delta is less than zero, so there is no solution for the equation

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