Let's first simplify both sides of the equation:
(х-5)(х+5) - 7х = (3 - х)^2 + 5
Expanding the left side:
(х^2 - 25) - 7х
Expanding the right side:
(3 - х)(3 - х) + 5(3 - х)^2 + 5(3 - х)(3 - х)9 - 3х - 3х + х^2 + 59 - 6х + х^2 + 5
Simplifying further:
х^2 - 25 - 7х = 14 - 6х + х^2
Subtracting terms on the right side to the left side and simplifying:
Dividing by -1 to solve for x:
x = -39
Therefore, the solution to the equation is x = -39.
Let's first simplify both sides of the equation:
(х-5)(х+5) - 7х = (3 - х)^2 + 5
Expanding the left side:
(х^2 - 25) - 7х
Expanding the right side:
(3 - х)(3 - х) + 5
(3 - х)^2 + 5
(3 - х)(3 - х)
9 - 3х - 3х + х^2 + 5
9 - 6х + х^2 + 5
Simplifying further:
х^2 - 25 - 7х = 14 - 6х + х^2
Subtracting terms on the right side to the left side and simplifying:
7х + 6х = 14 + 25-x = 39
Dividing by -1 to solve for x:
x = -39
Therefore, the solution to the equation is x = -39.