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(x-4)(7-x)=5x^2
We move all terms to the left:
(x-4)(7-x)-(5x^2)=0
determiningTheFunctionDomain -5x^2+(x-4)(7-x)=0
We add all the numbers together, and all the variables
-5x^2+(x-4)(-1x+7)=0
We multiply parentheses ..
-5x^2+(-1x^2+7x+4x-28)=0
We get rid of parentheses
-5x^2-1x^2+7x+4x-28=0
We add all the numbers together, and all the variables
-6x^2+11x-28=0
a = -6; b = 11; c = -28;
Δ = b2-4ac
Δ = 112-4·(-6)·(-28)
Δ = -551
Delta is less than zero, so there is no solution for the equation
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