This equation simplifies to
(x+7)^2 + (x-5)^2 = 2x^2
Expanding the squares gives:
x^2 + 14x + 49 + x^2 - 10x + 25 = 2x^2
Combine like terms:
2x^2 + 4x + 74 = 2x^2
Subtract 2x^2 from both sides:
4x + 74 = 0
Subtract 74 from both sides:
4x = -74
Divide by 4:
x = -74/4
x = -37/2 or -18.5
So, the solution to the equation is x = -37/2 or x = -18.5.
This equation simplifies to
(x+7)^2 + (x-5)^2 = 2x^2
Expanding the squares gives:
x^2 + 14x + 49 + x^2 - 10x + 25 = 2x^2
Combine like terms:
2x^2 + 4x + 74 = 2x^2
Subtract 2x^2 from both sides:
4x + 74 = 0
Subtract 74 from both sides:
4x = -74
Divide by 4:
x = -74/4
x = -37/2 or -18.5
So, the solution to the equation is x = -37/2 or x = -18.5.