Expanding both sides of the equation, we get:
(х+7)(х+7) = (6-х)(6-х)х^2 + 14х + 49 = 36 - 12х + x^2Combine like terms:14х + 49 = -12х + 3626х + 49 = 3626х = -13х = -13/26х = -1/2
Therefore, the solution to the equation (х+7)2=(6-х)2 is х = -1/2.
Expanding both sides of the equation, we get:
(х+7)(х+7) = (6-х)(6-х)
х^2 + 14х + 49 = 36 - 12х + x^2
Combine like terms:
14х + 49 = -12х + 36
26х + 49 = 36
26х = -13
х = -13/26
х = -1/2
Therefore, the solution to the equation (х+7)2=(6-х)2 is х = -1/2.