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(x-4)(7-x)=5x*x
We move all terms to the left:
(x-4)(7-x)-(5x*x)=0
We add all the numbers together, and all the variables
(x-4)(-1x+7)-(+5x*x)=0
We get rid of parentheses
(x-4)(-1x+7)-5x*x=0
We multiply parentheses ..
(-1x^2+7x+4x-28)-5x*x=0
Wy multiply elements
(-1x^2+7x+4x-28)-5x^2=0
We get rid of parentheses
-1x^2-5x^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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