(x+6)^2 = (15-x)^2
(x+6)(x+6) = (15-x)(15-x)
Expanding both sides:
x^2 + 12x + 36 = 225 - 30x + x^2
Rearranging terms:
12x + 36 = 225 - 30x
Combining like terms:
12x + 30x = 225 - 36
42x = 189
Dividing by 42:
x = 189 / 42
x = 9/2 or x = 4.5
Therefore, the solutions to the equation are x = 9/2 or x = 4.5.
(x+6)^2 = (15-x)^2
(x+6)(x+6) = (15-x)(15-x)
Expanding both sides:
x^2 + 12x + 36 = 225 - 30x + x^2
Rearranging terms:
12x + 36 = 225 - 30x
Combining like terms:
12x + 30x = 225 - 36
42x = 189
Dividing by 42:
x = 189 / 42
x = 9/2 or x = 4.5
Therefore, the solutions to the equation are x = 9/2 or x = 4.5.