12^2+x^2=(x+8)^2
Solve for x:
x^2+144 = (x+8)^2
Expand out terms of the right hand side:
x^2+144 = x^2+16 x+64
Subtract x^2+16 x+64 from both sides:
80-16 x = 0
Factor constant terms from the left hand side:
-16 (x-5) = 0
Divide both sides by -16:
x-5 = 0
Add 5 to both sides:
Answer: |
| x = 5