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(x-4)(7-x)=27-x2
We move all terms to the left:
(x-4)(7-x)-(27-x2)=0
We add all the numbers together, and all the variables
-(-1x^2+27)+(x-4)(-1x+7)=0
We get rid of parentheses
1x^2+(x-4)(-1x+7)-27=0
We multiply parentheses ..
1x^2+(-1x^2+7x+4x-28)-27=0
We add all the numbers together, and all the variables
x^2+(-1x^2+7x+4x-28)-27=0
We get rid of parentheses
x^2-1x^2+7x+4x-28-27=0
We add all the numbers together, and all the variables
11x-55=0
We move all terms containing x to the left, all other terms to the right
11x=55
x=55/11
x=5
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