To solve this equation, we first need to expand both sides:
(x-6)^2 = x^2 - 12x + 36(x+8)^2 = x^2 + 16x + 64
Now we can rewrite the equation:
x^2 - 12x + 36 + x^2 + 16x + 64 = 2x^2
Combining like terms:
2x^2 + 4x + 100 = 2x^2
Next, we can subtract 2x^2 from both sides to simplify the equation:
4x + 100 = 0
Now we can solve for x:
4x = -100x = -25
Therefore, the solution to the equation is x = -25.
To solve this equation, we first need to expand both sides:
(x-6)^2 = x^2 - 12x + 36
(x+8)^2 = x^2 + 16x + 64
Now we can rewrite the equation:
x^2 - 12x + 36 + x^2 + 16x + 64 = 2x^2
Combining like terms:
2x^2 + 4x + 100 = 2x^2
Next, we can subtract 2x^2 from both sides to simplify the equation:
4x + 100 = 0
Now we can solve for x:
4x = -100
x = -25
Therefore, the solution to the equation is x = -25.