(x+1)^2 - (2x-1)^2 = 0Expanding both terms:x^2 + 2x + 1 - (4x^2 - 4x + 1) = 0Simplify by combining like terms:x^2 + 2x + 1 - 4x^2 + 4x - 1 = 0-x^2 + 6x = 0Factor out x:x(-x + 6) = 0Setting each factor to zero and solving for x:x = 0 or x = 6
Therefore, the solutions to the equation are x = 0 and x = 6.
(x+1)^2 - (2x-1)^2 = 0
Expanding both terms:
x^2 + 2x + 1 - (4x^2 - 4x + 1) = 0
Simplify by combining like terms:
x^2 + 2x + 1 - 4x^2 + 4x - 1 = 0
-x^2 + 6x = 0
Factor out x:
x(-x + 6) = 0
Setting each factor to zero and solving for x:
x = 0 or x = 6
Therefore, the solutions to the equation are x = 0 and x = 6.